Home \ Faculty Details \ Dr. Muhammad Imran
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  • Phone:

    +966-13-849-9396

  • Email:

    mimran1@pmu.edu.sa

  • Office No:

    G007

  • Dr. Muhammad Imran

  • Job Title :

    Associate Research Professor

  • College :

    College of Engineering


  • Department :

    Electrical Engineering


Dr. Muhammad Imran is a Pakistani national, working as an Associate Research Professor in the
Department of Electrical Engineering at PMU, KSA.
He received his B. Sc. degree from University of the Punjab, Lahore, Pakistan in year 2000, M. Sc. degree
from the University of the Punjab, Lahore, Pakistan in 2002, and his Ph.D. in Mathematics from Abdus
Salam School of Mathematical Sciences(ASSMS), Government College University, Lahore Pakistan in
2011. He pursued his postdoctoral research at University of the Free State, South Africa in 2016 where
he worked in the Graph theory research group of Prof. Tomas Vetrik.
He has prior experience of working and training young researchers in Mathematics at Master and PhD
levels at National University of Sciences and Technology (NUST), Islamabad, Pakistan from 2011 to 2016
and at United Arab Emirates University (UAEU), Al Ain, UAE from 2016 to 2024.
Dr. Imran has several years of experience in teaching, research and curriculum development at graduate
and undergraduate levels. He proved several major results in structural graph theory, and has developed
new techniques to resolve some major open problems in spectral graph theory and chemical graph
theory. His research work is in the areas of graph theory and its applications in chemistry, biology and
computer science. Currently he is working in the areas of applied linear algebra and chemical graph
theory. He has developed several new courses in his carrier at undergraduate and graduate level which
include Combinatorics, Optimization Methods, Applied Linear Algebra and Mathematics for Machine
Learning. He was involved from the very beginning at UAE University in the curriculum development of
the new proposed BS Mathematics of Data Science program which is designed to address the increasing
talent gap in data science and train the next generation of highly skilled data scientists in UAE and Gulf
region.
Dr. Imran has published 342 publications in peer reviewed international indexed journals and
conference proceedings. 292 out of these articles are published in Scopus indexed journals. He has
obtained 11 internal and external research grants as PI at UAE University, Al Ain, United Arab Emirates
worth 1.836 Million AED. He has won several awards related to research achievements.
Dr. Imran hopes to contribute to preparing an outstanding generation of Mathematician working in
interdisciplinary envirement that will help shape the future of Mathematics and STEM education in KSA
and the region.

  • Ph.D. Mathematics (2011), Abdus Salam School of Mathematical Sciences (ASSMS), GC University, Lahore, Pakistan
  • M.Sc. Mathematics (2002), University of the Punjab, Lahore, Pakistan
  • B.Sc. Mathematics (2000), University of the Punjab, Lahore, Pakistan

 

 

 

1.             LIST OF PUBLICATIONS

a)      International Refereed Journals (342)

1.     M. Arulperumjothi, V. Subramanian, S. Prabhu, M. Imran, On some counting polynomials and energy properties of superphenalene and supertriphenylene, Scientific Reports, Accepted, in press.

2.     B.A. Rather, M, Aouchiche; M. Imran, S. Mondal, Geometric-arithmetic index-energy predicting the physical properties of alkanes, Communications in Combinatorics and Optimization (2024), DOI: 10.22049/cco.2024.28999.1807.

3.     F. B. Farooq, N. Idrees, E. Noor, N. A. Alqahtani, M. Imran, A computational approach to drug design for multiple sclerosis via QSPR modeling, chemical graph theory, and multi-criteria decision analysis, BMC Chemistry 19(1)(2025), https://doi.org/10.1186/s13065-024-01374-1.

4.     F. B. Farooq, S. Sultana, N. Alqahtani, M. Imran, Optimization of HIV drugs through MCDM technique Analytic Hierarchy Process (AHP), PLOS One, Accepted, in press.

5.     B. A. Rather, M. Imran, S. Pirzada, Linear strand of edge ideals of zero divisor graphs of the ring Zn, Communications in Algebra (2024), DOI: 10.1080/00927872.2024.2363953.

6.      B. A. Rather, H. A. Ganie, M. Imran, On the energy of some tree dendrimers, Discrete Mathematics, Algorithms and Applications (2024), DOI: 10.1142/S1793830925500028.

7.     A. R. Butt, F. B. Farooq, H. Abbas, N.A. Alqahtani, M. Imran, A. Bekir, Multi-stability and dynamical analysis of Zhanbota-IIA equation with couple of integrating architectures, Physica Scripta (2024), DOI 10.1088/1402-4896/ad9786.

8.     A. Baby, D. A.  Xavier, S. A. K. Kirmani, M. Imran, M. U. Ghani, M. E.  M. Abdalla, Molecular descriptors of symmetrically configured carbon nanocones via quotient graph technique, Ain Shams Engineering Journal(2024), https://doi.org/10.1016/j.asej.2024.103095.  

9.     K. C. Das, M. Imran, T. Vetrik, General Sombor index of graphs and trees, Journal of Discrete Mathematical Sciences & Cryptography (2024), Accepted, in press.

10.   B. A. Rather, M. Imran, A. Diene, On spectral spread and trace norm of Sombor matrix, Indian Journal of Pure and Applied Mathematics (2024), https://doi.org/10.1007/s13226-023-00529-5.

11.   S. Rehman, M. Imran, I. Javaid, On automorphisms and fixing number of co-normal product of graphs, Indian Journal of Pure and Applied Mathematics (2023), https://doi.org/10.1007/s13226-023-00421-2.

12.   M. Imran, T. Nawaz, M. A. Malik, M. K. Jamil, S. Hayat, On topological properties of boron and boron-α nanotubes, Mathematical Methods in the Applied Sciences, https://doi.org/10.1002/mma.6808.

13.   S. Hayat, S. Khan, A. Khan, M. Imran, Distance-based topological descriptors for measuring the π-electronic energy of benzenoid hydrocarbons with applications to carbon nanotubes, Mathematical Methods in the Applied Sciences, https://doi.org/10.1002/mma.6668.

14.   M. Vivas-Cortez, F. B. Farooq, N. Raza, N. A. Alqahtani, M. Imran, T. Nazir, A comprehensive study of wave dyanmics in the (4+1)-dimensional space-time fractional Fokas model arising in physical sciences, Alexandria Engineering Journal, 115(2025), 238-251.

15.   B. A. Rather, M. Imran, F. B. Farooq, Algebraic analysis of p-type brooms and their application in allergic drugs, The Journal of Supercomputing 81, 53(2025). https://doi.org/10.1007/s11227-024-06600-0.

16.   B. A. Rather, Z. Raza, M. Imran, Sombor characteristic values of cographs, Heliyon, Volume 10, Issue 19e38578October 15, 2024, DOI: 10.1016/j.heliyon.2024.e38578.

17.   S. Hayat, S. J. F. Alanazi, M. Imran, M. Azeem, Predictive potential of distance-related spectral graphical descriptors for structure-property modeling of thermodynamic properties of polycyclic hydrocarbons with applications, Scientific Reports, 14(2024), 22512. https://doi.org/10.1038/s41598-024-72877-z.

18.   S. Hayat, M.Y.H. Malik, S.J.F. Alanazi, S. Fazal, M. Imran, M. Azeem, Optimizing predictive models for evaluating the F-temperature index in predicting the π- electron energy of polycyclic hydrocarbons, applicable to carbon nanocones, Scientific Reports, 14, 25494 (2024). https://doi.org/10.1038/s41598-024-72896-w.   

19.   M. Imran, S. A. Bokhary, M. S.  Akhtar, N. Matsumoto, Game chromatic number of honeycomb related networks, Communications in Combinatorics and Optimization, 9(4)(2024), 747-757. DOI:10.22049/cco.2023.28663.1658.

20.   K. A. Sugeng, F. Firmansah, Wildan, B. D. Handari, N. Hariadi, M.  Imran, Several properties of antiadjacency matrix of a directed graphs, AIMS Mathematics, 9(10)(2024), 27834-27847.  doi: 10.3934/math.20241351.

21.   M. Aouchiche, B. A. Rather, M. Imran, I. El Hallaouid, On distance Laplacian spectral ordering of some graphs, Journal of Applied Mathematics and Computing 70(2024), 867-892.  https://doi.org/10.1007/s12190-024-01995-8

22.   S. Prabhu, G. Murugan, M. Imran, M. Arockiaraj, M. M. Alam, M, U. Ghani, Several distance and degree-based molecular structural attributes of cove-edged graphene nanoribbons, Heliyon, 10(15)(2024), e34944.https://doi.org/10.1016/j.heliyon.2024.e34944.

23.   B. A. Rather, M. Imran, Z. Raza, F. B. Farooq, Spectral properties of Sombor matrix of threshold graphs, RAIRO - Operations Research, 58(2024), 2845-2864. DOI: https://doi.org/10.1051/ro/2024111.

24.   A. R. Khan, S. A. Bhatti, M. Imran, F.  M.O. Tawfiq, M. Cancan, S.  Hussain, Computation of differential and integral operators using M-polynomials of gold crystal, Heliyon, 10(14)(2024), e34419. https://doi.org/10.1016/j.heliyon.2024.e34419.

25.   A. R. Khan, Z. Ullah, M. Imran, M. Salman, A. Zia, F. Tchier, S. Hussain, Degree-based topological indices and entropies of diamond crystals, Science Progress, 107(3)(2024), 1-12. DOI: 10.1177/00368504241271719.

26.   F. Jamal, M. Imran, Distance spectrum of some zero divisor graphs, AIMS Mathematics, 9(9)(2024), 23979–23996. DOI: 10.3934/math.20241166.

27.   A. R. Khan, Z. Ulla, M. Imran, S. A. Malik, L. M. Alamoudi, M. Cancan, Molecular temperature descriptors as a novel approach for QSPR analysis of borophene nanosheets, PLoS ONE 19(6)(2024): e0302157.  https://doi.org/10.1371/ journal.pone.0302157. 

28.   F. Jamal, M. Imran, Bounds on Sombor index and inverse sum indeg (ISI) index of graph operations, Communications in Combinatorics and Optimization, Vol. 9, No. 4 (2024), pp. 785-798. DOI: 10.22049/CCO.2023.28718.1684.

29.   X. Zhang, M. A.  Rashid, S. Ahmad, M. Imran, S. Akhter, M. K.  Siddiqui, Sharp bounds for the general Randic index of R-graph products, Ars Combinatoria, 159(2024), 41-50.

30.   R. U. Shaban, M. Imran, H. A. Ganie, Bounds for the -adjacency energy of a graph, Journal of Mathematical Inequalities 18(1)(2024), 127-141.

31.   K. Naz, M. K. Siddiqui, S. Ahmad, H. M. Bilal, M. Imran, On some bounds of multiplicative k-Banhatti indices for polycyclic random chains, Polycyclic Aromatic Compounds 44(4) (2024), 2270–2291.  https://doi.org/10.1080/10406638.2023.2215374.   

32.   B. A. Rather, A. Diene, M. Imran, Linear strand of edge ideals of comaximal graphs of commutative rings, Communications in Algebra, 52(4)(2024), 1486-1500.  https://doi.org/10.1080/00927872.2023.2263559.

33.   B. A. Rather, M. Imran, S. Pirzada, Sombor index and eigenvalues of comaximal graphs of commutative rings, Journal of Algebra and its Applications Vol. 23, No. 6 (2024) 2450115 (19 pages), https://doi.org/10.1142/S0219498824501159.

34.   B. A. Rather; M. Aouchiche; M. Imran, On Laplacian integrability of comaximal graphs of commutative rings, Indian Journal of Pure and Applied Mathematics, 55 (2024), 310-324.

35.   A. Altassan, M. Imran, Topological properties of polymeric networks modelled by generalized sierpiński graphs, Fractal and Fractional, 8(2)(2024), 123; https://doi.org/10.3390/fractalfract8020123.

36.   A. Altassan, M. Imran, General Randić index of unicyclic graphs and its applications to drugs, Symmetry, 16(1)(2024), 113; https://doi.org/10.3390/sym16010113.

37.   M. F. Nadeem, M. Imran, H. M. A.  Siddiqui, M. Azeem, Fault tolerance designs of interconnection networks, Peer-to-Peer Networking and Applications, 16(2023), 1125-1134. 

38.   K. Naz, M. K. Siddiqui, S. Ahmad, H. M. Bilal, M. Imran, On computing some degree based topological indices for backbone DNA networks, Journal of Applied Mathematics and Computing, 69(2023), 3189–3204.

39.   M. A. Malik, M. Imran, M. Adeel, On distance-based topological indices and co-indices of fractal-type molecular graphs and their respective graph entropies, PLoS ONE 18(11) (2023): e0290047. https://doi.org/10.1371/journal. pone.0290047. 

40.   Z. Raza, S. Ahmad, M. Mansha, M. Imran, Zagreb connection indices for metal trihalides, Applied Mathematics and Nonlinear Sciences, 8(2) (2023), 2261-2278.

41.   M. U. Ghani, M. Imran, S. Sampathkumar, F. Tchier, K. Pattabiraman, A. Z. Jan, A paradigmatic approach to the molecular descriptor computation for some antiviral drugs, Heliyon (2023), https://doi.org/10.1016/j.heliyon.2023.e21401.

42.   L. Huang, A. Mahboob, M. K Siddiqui, M. Imran, M.  W. Rasheed, M. Waqas, On QSPR Study of energies and thermodynamic aspects of anti-malaria medicines, Physica Scripta (2023), 98, 115218, DOI 10.1088/1402-4896/acfe50.

43.   S. Prabu, M. Arulperumjothi, M. U. Ghani, M. Imran, S. Salu, B. K. Jose, Computational analysis of some more rectangular tessellations of Kekulenes and their molecular characterizations, Molecules 2023, 28(18), 6625; https://doi.org/10.3390/molecules28186625.

44.   M. A. Raza, M. K. Mahmood, M. Imran, F. Tchier, D. Ahmad, M. K. Masood, Computational studies on diverse characterizations of molecular descriptors for graphyne nanoribbon structures, Molecules 2023, 28(18), 6597; https://doi.org/10.3390/molecules28186597.

45.   M. Baca, M. Imran, Z. Kimakova, A. Semanicova-Fenovcikova, A new generalization of edge irregular evaluations, AIMS Mathematics,  8(2023), 25249-25261. 

46.   M. Imran, M. A. Malik, M. Aqib, G. H. Aslam, A, Ali, On Zagreb coindices and Mostar index of TiO2 nanotubes, Scientific Reports, (2023) 13:13672, https://doi.org/10.1038/s41598-023-40089-6.

47.   T. Vetrik, M. Imran, M. Knor, R. Skrekovski, The metric dimension of the circulant graph with 2k generators can be less than k, Journal of King Saud University–Science, 35(2023),102834.

48.   M. Imran, B. A. Rather, Sombor spectra of chain graphs, Heliyon, Volume 9, Issue 7, July 2023, e18135.

49.   A. Altassan, B. A. Rather, M. Imran, On ABC energy and its application to anticancer drug, AIMS Mathematics, 2023, Volume 8, Issue 9: 21668-21682. doi: 10.3934/math.20231105.

50.   M. F. Nadeem, A. Shabbir, M. Imran, Optimal embedding of graphs with non-concurrent longest paths in Archimedean tessellations, Complexity, vol. 2023, Article ID 3919389, 7 pages, 2023. https://doi.org/10.1155/2023/3919389. 

51.   U. Ahmad, M. Imran, A. M. Alanazi, R. Yousaf, S. Hameed, On distance-based indices of regular dendrimers using automorphism group action, Main Group Metal Chemistry, 46(1)(2023), 20220028.

52.   M. Imran, A. R. Khan, M. N.  Husin, F. Tchier, M. U. Ghani, S. Hussain, Computation of entropy measures for metal–organic frameworks, Molecules 2023, 28(12), 4726; https://doi.org/10.3390/molecules28124726.

53.   M. U. Ghani, S. Ali, M. Imran, H. Karamti, F.  Sultan, M.  Y. Almusawa, Hex-derived molecular descriptors via generalised valency-based entropies, IEEE Access, 11(2023), 42052-42068. 

54.   S. Mondal, M. Imran, N. De, A. Pal, Topological indices of total graph and zero divisor graph of commutative ring: a polynomial approach, Complexity, Volume 2023, Article ID 6815657, 16 pages, https://doi.org/10.1155/2023/6815657.

55.   D. A. Xavier, M. U. Ghani, M. Imran, T. Nair A., E. S. Verghese, A. Baby, Comparative study of molecular descriptors of pent-heptagonal nanostructures using neighborhood M-Polynomial approach, Molecules 2023, 28(6), 2518; https://doi.org/10.3390/molecules28062518.

56.   S. Nagarajan, M. Imran, P. M. Kumar, K. Pattabiraman, M. U. Ghani, Degree-based entropy of some classes of networks, Mathematics 2023, 11, 960. https://doi.org/10.3390/math11040960.

57.   A. Altassan, M. Imran, Generalized quasi trees With respect to degree based topological indices and their applications to COVID-19 drugs, Mathematics 2023, 11, 647. https://doi.org/10.3390/math11030647.

58.   M. Imran, S. Akhter, F. Yasmeen, K. Ali, The weighted Mostar invariants of phthalocyanines, triazine-based and nanostar dendrimers, Polycyclic Aromatic Compounds, 43(1)(2023), 772-789.

59.   F. Jamal, M. Imran, B. A. Rather, On inverse sum indeg energy of graphs, Special Matrices, 11(2023), 20220175.

60.   B. A. Rather, M. Imran, A note on energy and Sombor energy of graphs, MATCH Communications in Mathematical and in Computer Chemistry, 89(2023), 467-477.

61.   W. Ashraf, H. Shakir, M. Imran, K. A. Sugeng, Group distance magic labeling of graphs and their direct product, Utilitas Mathematica, 119(2022), 18-26.

62.   M. Imran, A. Ahmad, M. K. Siddiqui, On degree-based topological descriptors of graphyne and graphdiyne nanoribbons, The European Physical Journal Plus, 137, 1372(2022).

63.   S. Krishnan, B. Rajan, M. Imran, Expressions for Mostar and weighted Mostar invariants in a chemical structure, Main Group Metal Chemistry 45(2022), 265–271.

64.   Y. K. Feyissa, M. Imran, T. Vetrik, N. Hund, On the general eccentric distance sum of graphs and trees, Iranian Journal of Mathematical Chemistry, 13(4)(2022) 239-252.

65.   A. Altassan, B. A. Rather M. Imran, Inverse sum indeg index (energy) with applications to anticancer drugs, Mathematics 2022, 10(24), 4749; https://doi.org/10.3390/math10244749.

66.   X. Yu, M. Imran, A. Javed, M. K. Jamil,
X. Zuo, Bounds On the general eccentric connectivity index, Symmetry 2022, 14, 2560. https://doi.org/10.3390/sym14122560.

67.   S. Ashraf, M. Imran, S. A. Bokhary, S. Akhter, The Wiener index, Degree distance index and Gutman index of composite hypergraphs and sunflower hypergraphs, Heliyon 8 (2022) e12382. https://doi.org/10.1016/j.heliyon.2022.e12382

68.   M. Imran, T. Vetrik, On partition dimension of infinite graphs, Mathematical Reports, 24(74)(2022), 433-442.

69.   X. Zuo, B. A. Rather, M. Imran, A. Ali, On some topological indices defined via the modified Sombor matrix, Molecules 2022, 27, 6772. https://doi.org/10.3390/molecules27196772

70.   M. A. Rashid, S. Ahmad, M. K. Siddiqui, M. Imran, Topological properties of para-line graphs for chemical networks, Polycyclic Aromatic Compounds, 42(2022), 260-276.

71.   Z. Raza, M. Imran, The reverse Zagreb indices of F-sum of graphs, Journal of Discrete Mathematical Sciences & Cryptography, 25(6)(2022), 1885–1897.

72.   M. Imran, A. Ahmad, M. K. Siddiqui, T. Mehmood, M. Imran, Total vertex irregularity strength of generalized prism graphs, Journal of Discrete Mathematical Sciences & Cryptography, 25(6) (2022), 1855–1865.

73.   L. Guangyu, S. Hussain, A. Khalid, M. Ishtiaq, M. K. Siddiqui, M. Cancan, M. Imran, Topological study of carbon nanotube and polycyclic aromatic nanostar molecular structures, Polycyclic Aromatic Compounds, 42(2022), 4049-4065.

74.   F. Yasmeen, M. Imran, S. Akhter, Y. Ali, K. Ali1, On topological polynomials and indices for metal-organic networks and cuboctahedral bi-metallic networks, Main Group Metal Chemistry, 45(2022), 136-151.

75.   M. Imran, M. K. Siddiqui, S. Javed, L. Sherin, S. Khalid, W. Asghar, On analysis of heat of formation and entropy measures for indium phosphide, Arabian Journal of Chemistry, 15(2022), 104218.

76.   S. Rehman, M. Imran, S. Bibi, R. Gul, Generalized order divisor graphs associated with finite group, Algebra Letters, 2(2022), https://doi.org/10.28919/al/7630.

77.   A. Altassan, M. Imran, S. Akhter, On the eccentric-distance sum polynomials of molecular graphs by using graph products, Mathematics 2022, 10, 2834. https://doi.org/10.3390/math10162834.

78.   B. A. Rather, M. Aouchiche, M. Imran, S. Pirzada, On arithmetic-geometric eigenvalues of graphs, Main Group Metal Chemistry, 45(2022),111–123.

79.   S. Sultan, M. Baca, A. Ahmad, M. Imran, Minimal doubly resolving sets of antiprism graphs and Möbius ladders, Miskolc Mathematical Notes, 23 (1)(2022), 457–469.

80.   M. Imran, S. Akhter, U. Ahmad, S. Ahmad, A. Bilal, On extremal graphs of degree distance Index by using edge-grafting transformations method, Combinatorial Chemistry & High Throughput Screening, 25(3)( 2022), 560-567.

81.   J. B. Liu, M. Imran, S. Baby, H. M. A. Siddiqui, M. K.  Shafiq, Graph indices for cartesian product of F-sum of connected graphs, Combinatorial Chemistry & High Throughput Screening, 25(3)(2022), 528-535.

82.   M. A. Iqbal, M. Imran, M. K. Siddiqui, M. A. Zaighum, Computing molecular topological descriptors of polymeric networks modeled by sierpinski networks, Polycyclic Aromatic Compounds, 42(4)(2022), 1496–1515.

83.   F. Ishfaq, M. Imran, M. F. Nadeem, Topological aspects of extended Sierpinski structures with help of underlying networks, Journal of King Saud University -Science, 34(6)(2022), 102126.

84.   B. A. Rather, M. Imran, Sharp Bounds on the Sombor Energy of Graphs, MATCH Communications in Mathematical and in Computer Chemistry, 88(3)(2022)-605-624.

85.   M. Azeem. M. Imran, M. F. Nadeem, Sharp bounds on partition dimension of hexagonal Mobius ladder, Journal of King Saud University–Science, 34(2)(2022), 101779. https://doi.org/10.1016/j.jksus.2021.101779.

86.   A. Ahmad, M. Imran, Vertex-edge degree based topological properties for hex-derived networks, Complexity, Volume 2022, Article ID 7025480, 13 pages https://doi.org/10.1155/2022/7025480

87.   M. Imran, S. Manzoor, M. K.  Siddiqui, S. Ahmad, M. H.  Muhammad, On physical analysis of synthesis strategies and entropy measures of dendrimers, Arabian Journal of Chemistry, 15(2022), 103574. 

88.   M. Imran, A. Ahmad, M. Azeem, K. Elahi, Metric-based resolvability of quartz structure, Computers, Materials & Continua, 71(1)(2022), 2053-2071.

89.   S. Husain, M. Imran, A. Ahmad, Y. Ahmad, K. Elahi, A Study of cellular neural networks with vertex-edge topological descriptors, Computers, Materials & Continua, 70(2)(2022), 3433-3447.

90.   H. M. Ikhlaq, H. M. A. Siddiqui, M. Imran, A Comparative study of three resolving parameters for some families of graphs, Complexity, Volume 2021, Article ID 1927181, 13 pages https://doi.org/10.1155/2021/1927181

91.   W. Ashraf, H. Shakir, M. Imran, Orientable Group Distance Magic Labeling of Directed Graphs, Mathematical Problems in Engineering, Volume 2022, Article ID 3536356,  5 pages https://doi.org/10.1155/2022/3536356 .

92.   S. A. Bokhary, M. Adnan, M. Imran, On Wiener polarity index and Wiener index of certain triangular networks, Journal of Chemistry, Volume 2021, Article ID 2757925, 20 pages https://doi.org/10.1155/2021/2757925

93.   M. Javaid, M. Imran, Topological investigations of chemical networks, Main Group Metal Chemistry, 44(2021), 267-269. (Editorial)

94.   M. Baca, M. Imran, A. Semanicova-Fenovcikova, Irregularity and modular irregularity strength of wheels, Mathematics 2021, 9, 2710. https://doi.org/10.3390/math9212710.

95.   M. Imran, A. Ahmad, Y. Ahmad, M. Azeem, Edge weight based entropy measure of different shapes of carbon nanotubes, IEEE Access, 9(2021), 139712 – 139724.

96.   Z. Raza, M. Imran, Expected values of some molecular descriptors in random cyclooctane chains, Symmetry 2021, 13, 2197. https://doi.org/10.3390/sym13112197 .

97.   A. Rani, M. Imran, A. Razzaque, U. Ali, Properties of total transformation graphs for general sum-connectivity index, Complexity, Volume 2021, Article ID 6616056, 6 pages https://doi.org/10.1155/2021/6616056 .

98.   M. Cancan, M. Imran, S. Akhter, M. K.  Siddiqui, M. F. Hanif, Computing forgotten topological index of extremal cactus chains, Applied Mathematics and Nonlinear Sciences, 6(1)(2021), 439-446.

99.   M. Imran, S. A. Bokhary, U, Ali, On the total irregularity strength of convex polytope graphs, Proyecciones Journal of Mathematics 40(5)(2021), 1267-1277.

100.                  M. Imran, Y. Ali, M. A. Malik, K. Hasnat, Chromatic spectrum of some classes of 2-regular bipartite colored graphs, Journal of Intelligent and Fuzzy Systems, 41(1)(2021), 1125-1133.

101.                  Y. M. Chu, M. K. Shafiq, M. Imran, M. K.  Siddiqui, H. M. A. Siddiqui, S. Baby, M. Cancan, The sharp bounds of Zagreb indices on connected graphs, Journal of Mathematical Inequalities, 15(2) (2021), 477-489.

102.                  M. Imran, M. A. Malik, R. Javed, On Szeged-type indices of titanium oxide TiO2 nanotubes, International Journal of Quantum Chemistry, 2021;121: e26669,  https://doi.org/10.1002/qua.26669.

103.                  M. Imran, M. M. Zobair, H. Shakir, Eccentricity-based topological invariants of dominating David-derived networks, Journal of Chemistry Volume 2021, Article ID 8944080, 10 pages https://doi.org/10.1155/2021/8944080 .

104.                  M. Imran, S. Akhter, M. K. Jamil, Computation of topological indices of NEPS of graphs, Complexity, Volume 2021, Article ID 9911226, 6 pages https://doi.org/10.1155/2021/991.

105.                  M. Imran, M. A. Malik, R. Javed, Wiener polarity index and related molecular topological descriptors of titanium oxide nanotubes, International Journal of Quantum Chemistry, 2021;121: e26627,  https://doi.org/10.1002/qua.26627.

106.                  S. Mondal. M. Imran, N. De, A. Pal, Neighborhood M-polynomial of titanium compounds, Arabian Journal of Chemistry, 14(2021), 103244.

107.                  A. Rani, M. Imran, U, Ali, Sharp bounds for the inverse sum indeg index of graph operations, Mathematical Problems in Engineering, Volume 2021, Article ID 5561033, 11 pages, https://doi.org/10.1155/2021/5561033 .

108.                  S. A. Bokhary, M. Imran, A. Akhter, S. Manzoor, Molecular topological invariants of certain chemical networks, Main Group Metal Chemistry, 44(2021), 141-149.

109.                  S. Hayat, S. Khan, A. Khan, M. Imran, A computer-based method to determine predictive potential of distance-spectral descriptors for measuring the π-electronic energy of benzenoid hydrocarbons with applications, IEEE Access, 9(2021), 19238-19253.

110.                  K Wahid, A. Das, A. Rani, S. Amanat, M. Imran, U. Ali, On twin preserving spanning subgraph, Journal of Intelligent and Fuzzy Systems, 40(5)(2021), 9505-9513.

111.                  M. F. Nadeem, M. Imran, H. M. A. Siddiqui, M. Azeem, A. Khalil, Y, Ali, Topological aspects of metal-organic structure with the help of underlying networks, Arabian Journal of Chemistry, 14(2021), 103157. 

112.                  M. Imran, Y. Ali, Z. Bibi, M. S. Ghafar, Characterization of extremal unicyclic graphs using F-coindex, Complexity, Volume 2021, Article ID 8480971, 9 pages https://doi.org/10.1155/2021/8480971.

113.                  H. Shakir, M. Imran, W. Sajjad, Eccentricity based topological indices of face centered cubic lattice FCC(n), Main Group Metal Chemistry, 44(2021), 32-38.

114.                  S. Hayat, S. Khan, M. Imran, Quality testing of spectrum-based distance descriptors for polycyclic aromatic hydrocarbons with applications to carbon nanotubes and nanocones, Arabian Journal of Chemistry, 14(3)(2021), 102994.

115.                  S. Akhter, M. Imran, Z. Iqbal, Mostar indices of SiO2 nanostructures and melem chain nanostructures, International Journal of Quantum Chemistry, 2021;121: e26520, https://doi.org/10.1002/qua.26520.

116.                  S. Hayat, H. M. A.  Siddiqui, M. Imran, H. M. Ikhlaq, J. Cao, On the zero forcing number and propagation time of oriented graphs, AIMS Mathematics, 6(2)(2021), 1833–1850.

117.                  M. K. Jamil, M. Imran, A. Javed, R. Hasni, On the first general Zagreb eccentricity index, AIMS Mathematics, 6(1)(2021), 532-542.

118.                  M. Imran, S. Akhter, H. Shakir, Sharp bounds for the general Randic index of transformation graphs, Journal of Intelligent and Fuzzy Systems, 39(5)(2020), 7787-7794.

119.                  A. Q. Baig, A. Amin, M. R. Farahani, M. Imran, M. Cancan, M. S. Aldemir, Some topological descriptors and algebraic polynomials of Pm+F Pm, Eurasian Chemical Communication, 2 (2020),1072-1081.

120.                  Y. M. Chu, M. Imran, A. Q. Baig, S. Akhter, M. K. Siddiqui, On M-polynomial based topological   descriptors of chemical crystal structures and their applications, The European Physical Journal Plus, (2020) 135:874, https://doi.org/10.1140/epjp/s13360-020-00893-9.

121.                  A. J. M. Khalaf, A. Q. Baig, M. R. Azhar, M. Imran, M. R. Farahani, The eccentric based Zagreb indices of carbon graphite, Journal of Discrete Mathematical Sciences & Cryptography, 23 (6) (2020), 1121–1137.

122.                  J. Wei, S. A. Bokhary, G. Abbas, M. Imran, Resolvability in subdivision of circulant networks Cn[1,k], Discrete Dynamics in Nature and Society, Volume 2020, Article ID 4197678, 11 pages, https://doi.org/10.1155/2020/4197678.

123.                   S. Hayat, A. Khan, M. Y. H. Malik, M. Imran, M. K. Siddiqui, Fault-tolerant metric dimension of interconnection networks, IEEE Access, 8(2020), 145435-145445.

124.                   H. Shakir, I. Nadeem, M. Imran, Eccentricity-based topological indices of three-layer TiO2 nanostructures, Utilitas Mathematica, 117(2020), 33-43.

125.                   M. K. Siddiqui, M. Imran, M. Ibrahim, Total irregularity strength for product of two paths, AKCE International Journal of Graphs and Combinatorics, 17(1)(2020), 184-197.

126.                   M. Imran, M. Naeem, A. Q. Baig, Topological indices of polyhydroxybutyrate and polycaprolactone, Journal of Information and Optimization Sciences 41(4) (2020), 1025–1041.

127.                   Z. Ahmad, A. Q. Baig, M. R.  Azhar, M. Imran, Total eccentricity and average eccentricity indices of some chemical graphs: Carbon graphite and copper oxide, Journal of Information and Optimization Sciences, 41(4) (2020), 905–924.

128.                   J. Wei, M. Imran, M. A. Iqbal, M. A.  Zaighum, Zagreb-type indices of R-vertex join and R-edge join of graphs, Journal of Chemistry, Volume 2020, Article ID 9767128, 13 pages https://doi.org/10.1155/2020/9767128.

129.                   S. Hayat, S. Khan, M. Imran, J. B. Liu, Quality testing of distance-based molecular descriptors for benzenoid hydrocarbons, Journal of Molecular Structures, 1222(2020), 128927.

130.                   T. Iqbal, M. Imran, S. A. Bokhary, Domination and power domination in certain families of nanostars dendrimers, IEEE Access, 8(2020), 130947-130951.

131.                   M. A. Alfuraidan, M. Imran, M. K. Jamil, T. Vetrik, General multiplicative Zagreb indices of graphs with bridges, IEEE Access, 8(2020), 118725-118731.

132.                   H. Shakir, I. Nadeem, M. Imran, Omega and related counting polynomials of TiO2 nanostructures, Utilitas Mathematica, 113(2020), 31-40.

133.                   M. A. Iqbal, M. Imran, M. A. Zaighum, Eccentricity based topological indices of siloxane and POPAM dendrimers, Main Group Metal Chemistry, 43(2020), 92–98.

134.                   J. L. G. Guiro, M. Imran, M. K. Siddiqui, S. Akhter, On valency-based molecular topological descriptors of subdivision vertex-edge join of three graphs, Symmetry 2020, 12, 1026; doi:10.3390/sym12061026.

135.                   M. Imran, M. A. Iqbal, Y, Liu, A. Q. Baig, W. Khalid, M. A. Zaighum, Computing eccentricity based topological indices of 2-power interconnection networks, Journal of Chemistry, Volume 2020, Article ID 3794592, 7 pages https://doi.org/10.1155/2020/3794592

136.                   M. Imran, S. Akhter, Z. Iqbal, Edge Mostar index of chemical structures and nanostructures using graph operations, International Journal of Quantum Chemistry, 2020;120:e26259, DOI: 10.1002/QUA.26259.

137.                   M. K. Jamil, I. Tomescu, M. Imran, Extremal k-generalized quasi trees for general sum-connectivity index, U.P.B. Sci. Bull. Series A, 82(2)(2020), 101-106.

138.                   M. Imran, S. Akhter, Z. Iqbal, On the eccentric connectivity polynomial of F-sum of connected graphs, Complexity, Volume 2020, Article ID 5061682, 9 pages https://doi.org/10.1155/2020/5061682.

139.                   M. Imran, M. K. Siddiqui, A. Q. Baig, H. Shakir, Molecular topological description of bacterial hyper trees, Journal of Intelligent and Fuzzy Systems, 38 (2020), 5095–5105.

140.                   M. Knor, M. Imran, M. K. Jamil, R. Škrekovski, Remarks on distance based topological indices for l-Apex trees, Symmetry 2020, 12, 802; doi:10.3390/sym12050802.

141.                   M. S. Akhtar, M. Imran, S. A. Bokhary, Optimal graphs in enhanced mesh networks, Journal of Mathematics, Volume 2020, Article ID 9869201, 15 pages, https://doi.org/10.1155/2020/9869201.

142.                   S. U. Rehman, M. Imran, I. Javiad, On the metric dimension of arithmetic graph of a composite number, Symmetry 2020, 12, 607; doi:10.3390/sym12040607.

143.                   J. B.  Liu, A. Q. Baig, M. Imran, W. Khalid, M. Saeed, M. R.  Farahani, Computation of bond incident degree (BID) indices of complex structures in drugs, Eurasian Chemical Communication, 2(2020), 672-679.

144.                   M. Imran, S. A. Bokhary, S. Manzoor, M. K. Siddiqui, On molecular topological descriptors of certain families of nanostar dendrimers, Eurasian Chemical Communication, 2(2020), 680-687.

145.                   M. K. Siddiqui, M. Imran, M. Saeed, Topological properties of face-centered cubic lattice, Hacettepe Journal of Mathematics and Statistics, 49(1)(2020), 195-207.

146.                   M. K. Jamil, M. Imran, K. A. Sattar, Novel face index for benzenoid hydrocarbons, Mathematics 2020, 8, 312; doi:10.3390/math8030312.

147.                   M. Imran, M. K. Jamil, Sharp bounds on certain degree based topological indices for generalized Sierpinski graphs, Chaos, Solitons, and Fractals, 132(2020), 109608.

148.                   M. K. Jamil, I. Tomescu, M. Imran, A. Javed, Some bounds on zeroth order general Randic index, Mathematics 2020, 8, 98; doi:10.3390/math8010098.

149.                   M. Imran, A. Q. Baig, A. Semanicova–Fenovcikova, Some results on super edge-magic deficiency of graph, Kragujevac Journal of Mathematics, 44(2)(2020), 237-249.

150.                   M. Imran, S. S. Khan, S. Ahmad, M. F. Nadeem, M. K. Siddiqui, New results on super edge magic deficiency of kite graphs, International Journal of Applied Mathematics, 32(6)(2019), 969-980.

151.                   J. Xu, M. K. Siddiqui, M. Imran, Topological characterization for the line graph of nanostructures, International Journal of Applied Mathematics, 32(6)(2019), 1051-1067.

152.                   M. Naeem, M. Imran, S. Ahmad, M. K. Siddiqui, Zero-sum flow number of octagonal grid and generalized prism, Proyecciones (Antofagasta, online), 38(5)(2019), 1027-1038.

153.                   M. Imran, M. K. Siddiqui, S. Ahmad, M. F. Hanif, M. H. Muhammad, M. R. Farahani, Topological properties of benzenoid, phenylenes and nanostar dendrimers, Journal of Discrete Mathematical Sciences and Cryptography, 22(7)(2019), 1229-1248.

154.                   S. Ahmad, H. M. A. Siddiqui, A. Ali, M. R. Farahani, M. Imran, I. N. Cangul, On Wiener index and Wiener polarity index of some polyomino chains, Journal of Discrete Mathematical Sciences and Cryptography, 22(7)(2019), 1151-1164.

155.                   M. Imran, M. Naeem, A. Q. Baig, M. K. Siddiqui, M. A. Zahid, W. Gao, Modified eccentric descriptors of crystal cubic carbon, Journal of Discrete Mathematical Sciences and Cryptography, 22(7)(2019), 1215-1228.

156.                   M. Imran, Amna A. E. Abunamous, D. Adi, S. H.  Rafique, A. Q. Baig & M. R. Farahani, Eccentricity based topological indices of honeycomb networks, Journal of Discrete Mathematical Sciences and Cryptography, 22(7)(2019), 1199-1213.

157.                   H. Yang, M. Imran, S. Akhter, Z. Iqbal, M. K. Siddiqui, On distance-based topological descriptors of subdivision vertex-edge join of three graphs, IEEE Access, 7(2019), 14381-14391.

158.                   M. K. Siddiqui, M. Imran, M. A. Iqbal, Molecular descriptors of discrete dynamical system in fractal and Cayley tree type dendrimers, Journal of Applied Mathematics and Computing, 61(1-2)(2019), 57-72.

159.                   H. M. A. Siddiqui, S. Hayat, A. Khan, M. Imran, A. Razzaq, J. B. Liu, Resolvability and fault-tolerant resolvability structure of convex polytopes, Theoretical Computer Science, 796(3)(2019), 114-128.

160.                   S. Hayat, M. Imran, J. B. Liu, Correlation between the Estrada index and π-electronic energies for benzenoid hydrocarbons with applications to boron nanotubes, International Journal of Quantum Chemistry, 129(23) (2019), e26016.

161.                   I. Javaid, M. Salman, M. Murtaza, F. Iftikhar, M. Imran, Weak total resolving set in graphs, Utilitas Mathematica, 110(2019),11-26.

162.                   S. Imran, M. K. Siddiqui, M. Imran, M. Hussain, Computing the upper bounds for the metric dimension of cellulose network, Applied Mathematics E-Notes, 19(2019), 585-605.

163.                   S. Akhter, M. Imran, M. R. Farahani, I. Javaid, On topological properties of hexagonal and silicate networks, Hacettepe Journal of Mathematics and Statistics, 48(3)(2019), 711-723.

164.                   J. B. Liu, B. Ali, M. A. Malik, H. M. A. Siddiqui, M. Imran, Reformulated Zagreb indices of some derived graphs, Mathematics (2019), 7(4), 366; https://doi.org/10.3390/math7040366

165.                   M. Saeed, M. Imran, N. Rehman, Computation of Sanskruti index of certain interconnection networks, Utilitas Mathematica, 109(2019), 99-115.

166.                   S. Hayat, M. Imran, J. B. Liu, An efficient computational technique for degree and distance based topological descriptors with applications, IEEE Access, 7(2019), 32276-32296.

167.                   I. Javaid, H. Benish, M. Imran, A. Khan, Z. Ullah, On some bounds of the topological indices of generalized Sierpinski and extended Sierpinski graphs, Journal of Inequalities and Applications, 2019:37, https://doi.org/10.1186/s13660-019-1990-1 .

168.                   M. Imran, M. K. Siddiqui, A. Q. Baig, W. Khalid, H. Shakir, Topological properties of cellular neural networks, Journal of Intelligent & Fuzzy Systems, 37(3)(2019), 3605-3614.

169.                   B. Ali, M. Imran, M. A. Malik, H.  M. A. Siddiqui, A. Bilal, M. R. Farahani, Gutman index of some derived graphs, Advances and Applications in Discrete Mathematics, 20(1)(2019), 165-184.

170.                   H. Raza, S. Hayat, M. Imran, Xiang-Feng Pan, Fault-tolerant resolvability and extremal structures of graphs, Mathematics 2019, 7(1), 78; https://doi:10.3390/math7010078.  

171.                   M. K. Siddiqui, N. A. Rehman, M. Imran, Topological indices of some families of nanostar dendrimers, Journal of Mathematical Nanoscience, 8(2)(2018), 91-103.

172.                   M. Imran, M. K. Siddiqui, R. Naeem, On the metric dimension of generalized Petersen multigraphs, IEEE Access, 6(1)(2018), 74328-74338.

173.                   M. Naeem, M. K. Siddiqui, S. Qaisar, M. Imran, M. R. Farahani, Computing topological indices of 2-dimensional silicon-carbons, UPB Scientific Bulletin Series B, 80(4)(2018), 115-136.

174.                   M. Imran, A. Q. Baig, S. U. Rehman, H. Ali, R. Hasni, Computing topological polynomials of mesh derived networks, Discrete Mathematics, Algorithms and Applications, Vol. 10, No. 06 (2018), 1850077 (25 pages),  https://doi.org/10.1142/S1793830918500775 .  

175.                   S. U. Rehman, A. Q. Baig, M. Imran, Z. U. Khan, Order divisor graphs of finite groups, Analele Univ. “Ovidius” din Constanta, Math. Series, 26(3)(2018), 29–40.

176.                   M. Imran, A. Asghar, A. Q. Baig, On graph invariants of oxide networks, Engineering and Applied Sciences Letters, 1(1)(2018), 23-28.

177.                   M. K. Siddiqui, M. Naeem, M. Imran, Zero-sum flow number of some grid graphs, Open Journal of Discrete Applied Mathematics, 1(1)(2018), 16-25.

178.                   W. Gao, M. K. Siddiqui, M. Naeem, M. Imran, Computing multiple ABC index and multiple GA index of some grid graphs, Open Physics, 16(2018), 588-598. 

179.                   S. Gong, L. Tian, M. Imran, W. Gao, Primal dual based ontology sparse vector learning for similarity measuring and ontology mapping, Journal of Intelligent & Fuzzy Systems, 35(2018), 4525-4531.

180.                   M. Imran, M. K. Siddiqui, A. Ahmad, U. Ali, N. Hanif, On the degree based topological indices of the Tickysim SpiNNaker Model, Axioms 2018, 7, 73;  http://doi:10.3390/axioms7040073 .

181.                   M. Imran, A. Q. Baig, M. R. Azhar, The eccentric version of atom-bond connectivity index of tetra sheet networks, Discrete Mathematics, Algorithms and Applications, Vol. 10, No. 5 (2018) 1850065 (16 pages)https://doi.org/10.1142/S1793830918500659.

182.                   S. Imran, M. K. Siddiqui, M. Imran, M. Hussain, On metric dimensions of symmetric graphs obtained by rooted product, Mathematics 2018, 6, 191; https://doi.org/10.3390/math6100191.

183.                   W. Gao, M. Imran, M. K. Siddiqui, M. Naeem, F. Jamil, Molecular description of copper (I) oxide and copper (II) oxide, Quimica Nova, 41(8)(2018), 874-879.

184.                   Z. Cheng, De-Xun Li, M. R. Farahani, Shu-Wen Wang, M. Imran, The influence of alkaline catalysts on combustion of coal particles, Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 40(5)(2018), 549-552.

185.                   W. Gao, M. K. Jamil, A. Javed, M. R. Farahani, M. Imran, Inverse sum indeg index of the line graphs of subdivision graphs of some chemical structures, U.P.B. Sci. Bull., Series B, 80(3)(2018), 97-104.

186.                   M. Imran, M. K. Siddiqui, A. A. E. Abunamous, D. Adi, S. H. Rafique, A. Q. Baig, Eccentricity based topological indices of an oxide network, Mathematics 2018, 6(7), 126; https://doi.org/10.3390/math6070126.

187.                   S. Imran, M. K. Siddiqui, M. Imran, M. F. Nadeem, Computing topological indices and polynomials for line graphs, Mathematics 2018, 6(8), 137; https://doi.org/10.3390/math6080137.

188.                   M. Imran, A. Q. Baig, W. Khalid, On topological indices of fractal and Cayley tree type dendrimers, Discrete Dynamics in Nature and Society, Volume 2018, Article ID 2684984, 11 pages, https://doi.org/10.1155/2018/2684984 .

189.                   I. Javaid, S. Rehman, M. Imran, Bounds on the domination number and the metric dimension of co-normal product of graphs, Journal of Inequalities and Applications, 2018:162,  https://doi.org/10.1186/s13660-018-1752-5.

190.                   M. Imran, S. Akhter, Extremal cactus chains and polyomino chains with respect to general sum-connectivity index, Far East Journal of Mathematical Sciences, 103(9)(2018), 1493-1509.

191.                   R. Sohail, A. Rehman, M. Sh. R. Chowdhury, M. Imran, M. R. Farahani, Topological indices of some convex polytopes, International Journal of Pure and Applied Mathematics, 119(3)2018, 451- 460.

192.                   M. M.  Zobair, H. Shaker, M. Imran, N. Rehman, Polynomial structure of Benzene ring embedded in periodic-type surface in 2-dimension, Utilitas Mathematica, 108(2018), 253-263.

193.                   A. Khan, D. Khan, I. Khan, F. Ali, F. U. Karim, M. Imran, MHD flow of sodium alginate-based casson type nanofluid passing through a porous medium with newtonian heating, Scientific Reports (2018) 8:8645, http://DOI:10.1038/s41598-018-26994-1 .

194.                   S. M.  Kang, M. K.  Siddiqui, N. A.  Rehman, M. Imran, M. H.  Muhammad, Laplacian spectra for categorical product networks and its applications, Symmetry 2018, 10(6), 206; http://doi:10.3390/sym10060206 .

195.                   S. Imran, M. K.  Siddiqui, M. Imran, M. Hussain, H. M.  Bilal 1, I. Z.  Cheema 1, A. Tabraiz , Z. Saleem, Computing the metric dimension of gear graphs, Symmetry 2018, 10(6), 209; http://doi:10.3390/sym10060209.

196.                   M. Imran, M. A. Ali, S. Ahmad, M. K. Siddiqui, A. Q. Baig, Topological characterization of the symmetrical structure of bismuth tri-iodide, Symmetry, 2018, 10; http://doi:10.3390/sym10060201 .

197.                   M. Imran, M. K. Siddiqui, M. Naeem, M. A. Iqbal, On topological properties of symmetric chemical structures, Symmetry, 2018, 10, 173; doi:10.3390/sym10050173.

198.                   Y. Gao, M. Imran, M. R. Farahani, H. M. A. Siddiqui, Some connectivity indices and Zagreb index of honeycomb graphs, International Journal of Pharmaceutical Sciences and Research, 9(5)(2018), 2080-2087.

199.                   Y. Gao, S. Ediz, M. R. Farahani, M. Imran, On the second harmonic index of titania nanotubes, Drug Designing and Intellectual Properties International Journal, 1(1)(2018), DDIPIJ.MS.ID.000102.

200.                   W. Nazeer, M. Akmal, M. Imran, M. R. Farahani, On topological indices of line graph of star and friendship graphs, International Journal of Pure and Applied Mathematics, 118(2) (2018), 413-417.

201.                   M. Imran, A. Mukhtar, On super edge-magic total labeling of forests having two components, Journal of Graph Labeling, 4(1)(2018), 48-55.

202.                   M. Imran, A. Q. Baig, M. K. Shafiq, R. Hasni, On super edge-magic deficiency of acyclic graphs, Journal of Graph Labeling, 4(1)(2018), 25-34.

203.                   M. Imran, A. Q. Baig, S. Rashid, A. Semanicova–Fenovcikova, On the metric dimension and diameter of circulant graphs with three jumps, Discrete Mathematics, Algorithms and Applications, 10, 1850008 (2018) [17 pages], https://doi.org/10.1142/S1793830918500088.

204.                   S. Akhter, M. Imran, W. Gao, M. R. Farahani, On topological indices of honeycomb networks and graphene networks, Hacettepe Journal of Mathematics and Statistics, 47(1)(2018), 19-35.

205.                   Z. Jie, De-Xun Li, M. R. Farahani, M. Imran, Shu-Wen Wang, Economic feasibility of electricity generation from wind farms: A case study, Energy Sources, Part B: Economics, Planning, and Policy, 13(1)(2018), 1-5.

206.                   W. Gao, S. Wang, D.-X. Li, J.-B. Liu, M. R. Farahani, Y. Huo, M. Imran, M. H. Doranehgard, Techno-economic evaluation of biomass-to-synthesis gas (BtS) based on gasification, Energy Sources, Part B: Economics, Planning, and Policy, 13(2)(2018), 83-90.

207.                   X. Zhang, A. Q. Baig, M. R. Azhar, M. R. Farahani, M. Imran, The average eccentricity and eccentricity based geometric-arithmetic index of tetra sheets International Journal of Pure and Applied Mathematics, 117(3) (2017), 467-479.

208.                   M. Imran, A. Q. Baig, M. R. Azhar, M. R. Farahani, X. Zhang, Eccentricity based geometric-arithmetic indices of Copper Oxide CuO, International Journal of Pure and Applied Mathematics, 117(3) (2017), 481-452.

209.                   M. Rezaei, M. R. Farahani, M. K. Jamil, H. M.  Rehman, M. Imran, On the atom bond connectivity index of titania nanotubes TiO2(m, n), Iraqi Journal of Science, 58(4C)(2017), 2392-2400.

210.                   M. Imran, S. Baby, H. M. A. Siddiqui, M. K. Shafiq, Bounds of topological indices of tensor product of graph operations, Far East Journal of Mathematical Sciences, 102(12)(2017), 3067-3091.

211.                   De-Xun Li, Jia-Bao Liu, M. R. Farahani, M. Imran, M. K. Jamil, Techno-economic study of coal pyrolysis for production of chemicals using a high pressure fluidized bed, Energy Sources, Part B: Economics, Planning, and Policy, 12(7)(2017), 654-658.

212.                   De-Xun Li, Jia-Bao Liu, Yong-Hong Li, M. R. Farahani, M. Imran, Economic feasibility study of hydrogen production from biomass gasification for PEM fuel cell applications, Energy Sources, Part B: Economics, Planning, and Policy, 12(7)(2017), 659-664.

213.                   W. Gao, M. R. Farahani, M. Rezaei, A. Q. Baig, M. K. Jamil, M. Imran, R. Rezaee-Manesh, Kinetic modeling of biomass gasification in  micro fluidized bed, Energy Sources,  Part A: Recovery, Utilization, and Environmental Effects, 39 (7)(2017), 643-648.

214.                   W. Gao, M. R. Farahani, M. Rezaei, S. M. Hosamnai, M. K. Jamil, M. Imran, A. Q. Baig, Experimental study of steam-gasification of municipal solid wastes (MSW) using Ni-Cu/γ-Al2O3 nano catalysts, Energy Sources,  Part A: Recovery, Utilization, and Environmental Effects, 39(7)(2017), 693-697.

215.                   H. Wang, Jia-Bao Liu, S. Wang, W. Gao, S. Akhter, M. Imran, M. R.  Farahani, Sharp bounds for the general sum-connectivity index of transformation graphs, Discrete Dynamics in Nature and Society, Volume 2017, Article ID 2941615, 7 pages, https://doi.org/10.1155/2017/2941615.

216.                   M. Imran, S. Baby, H. M. A. Siddiqui, M. K. Shafiq, On bounds of degree based topological indices of Cartesian product of F-sum of connected graphs, Journal of Inequalities and Applications, 2017: 305,
https://doi.org/10.1186/s13660-017-1579-5.

217.                   A. Q. Baig, H. U. Afzal, M. Imran, M. S. Bashir, R. J. Qureshi, Super edge-magic labeling of accordion and bracelet graphs, Utilitas Mathematica, 102(2017), 283-297.

218.                   R. Naeem, M. Imran, On resolvability and exchange property for resolving sets in antiweb-wheels, Utilitas Mathematica, 104(2017), 187-200.

219.                   M. Imran, S. Akhter, On degree-based topological indices of double graphs and strong double graphs, Discrete Mathematics, Algorithms and Application,9(5)(2017),175006(15pages)http://doi.org/10.1142/S1793830917500665.

220.                   Z. Foruzanfar, M. K. Jamil, M. R. Farahani, M. Imran, X. Zhang, Some new/old degree-based topological indices of nanostar dendrimers, International Journal of Pure and Applied Mathematics, 117(1) (2017), 173-183.

221.                   Z. Foruzanfar, M. R. Farahani, M. K.  Jamil, H. M.  Rehman, M. Imran, Computation of certain topological indices of titania nnanotubes TiO2(m, n), International Journal of Pure and Applied Mathematics, 116(3) (2017), 765-776.

222.                   S. Ediz, M. R. Farahani, M. Imran, On novel harmonic indices of certain nanotubes, International Journal of Advanced Biotechnology and Research (IJBR), 8(4)(2017), 277-282.

223.                   W. Gao, M. Imran, A. Q. Baig, H. Ali, M. R. Farahani, Computing topological indices of Sudoku graphs, Journal of Applied Mathematics and Computing, 55(1-2)(2017), 99-117.

224.                   M. Imran, A. Aslam, S. Zafar, W. Nazeer, Further results on edge irregularity strength on graphs, Indonesian Journal of Combinatorics, 1(2)(2017), 82-91.

225.                   W. Gao, M. R. Farahani, M. Rezaei, Z. Foruzanfard, M. k. Jamil, M. Imran, A. Q. Baig, A time-independent kinetic model for syngas production from oxy-fuel gasification of waste oil, Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 39(11)(2017),  1092-1096.

226.                   W. Gao, M. R. Farahani, M. Rezaei, S. M. Hosamani, M. k. Jamil, M. Imran, Experimental and modeling study of oxy-fuel combustion of coal particles for heat and power generation, Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, 39(11)(2017),  1086-1091.

227.                   M. Imran, A. Mukhtar, On super edge-magic total labeling of forests consisting of stars and subdivided stars, International Journal of Mathematics and Soft Computing, 7(2)(2017), 1-14.

228.                   M. Imran, A. Q. Baig, H. M. A. Siddiqui, R. Sarwar, On molecular topological properties of diamond like networks, Canadian Journal of Chemistry, 95(7)(2017), 758-770.

229.                   Y. Liu, M. Rezaei, M. R. Farahani, M. N. Husin, M. Imran, The Omega Polynomial and the Cluj-Ilmenau Index of an Infinite Class of the Titania Nanotubes TiO2(m,n), Journal of Computational and Theoretical Nanoscience, 14(2017), 3429-3432.

230.                   U. Ali, A. Q. Baig, M. Imran, G. Abbas, M. Asif, On topological properties of certain boron nanostructures, Journal of Computational and Theoretical Nanoscience, 14(2017), 887-898.

231.                   A. Q. Baig, M. Imran, W. Khalid, M. Naeem, Molecular description of carbon graphite and crystal cubic carbon structures, Canadian Journal of Chemistry, 95(6)(2017), 674-686.

232.                   S. Akhter, M. Imran, Computing the forgotten topological index of four operations on graphs, AKCE International Journal of Graphs and Combinatorics, 14(1)(2017), 70-79.

233.                   S. Akhter, M. Imran, M. R. Farahani, Extremal unicyclic and bicyclic graphs with respect to the F-index, AKCE International Journal of Graphs and Combinatorics, 14(1)(2017), 80-91.

234.                   S. Akhter, M. Imran, Z. Raza, Bounds for the general sum-connectivity index of composite graphs, Journal of Inequalities and Applications, 2017: 76, doi: 10.1186/s13660-017-1350-y.

235.                   M. N. Husin, R. Hasni, M. Imran, More results on computation of topological indices of certain networks, International Journal of Networking and Virtual Orgnisations, 17(1)(2017), 46-63.

236.                   M. Imran, S. Hafi, W. Gao, M. R. Farahani, On topological properties of Sierpinski networks, Chaos, Solitons and Fractal, 98(2017), 199-204.

237.                   W. Gao, M. R. Farahni, M. Imran, About the Randic connectivity, modify Randic connectivity and the sum connectivity indices of titania nonotubes TiO2[m,n], Acta Chimica Slovenica, 64(1)(2017), 256-260.

238.                   S. Krishnan, B. Rajan, M. Imran, On the strong metric dimension of certain nanostructures, Journal of Computational and Theoretical Nanoscience, 14(1)(2017), 354-358.

239.                   Y. Li, L. Yan, M. R. Farahani, M. Imran, M. K. Jamil, Computing the theta polynomial θ(G,x) and the theta index θ(G) of titania nanotubes TiO2(m,n),
Journal of Computational and Theoretical Nanoscience, 14(1)(2017), 715–717.

240.                   W. Gao, M. R. Farahani, M. K. Jamil, M. K. Siddiqui, H. M. A. Siddiqui, M. Imran, R. Rezaee-Manesh, Kinetic modeling of pyrolysis of three Iranian waste oils in a micro-fluidized bed, Petroleum Science and Technology, 35(2)(2017), 183-189.

241.                   M. Imran, S. Hafi, On Wiener Index and variants of Szeged index of single walled titania nanotubes TiO2(m,n), Canadian Journal of Chemistry, 95(2017), 68-86.

242.                   Y. Huo, Jia-Bao Liu, S. Ahmad, N. Farah, U. Ahmad, M. R. Farahani, M. Imran, On Certain Topological Indices of TUC5C8 Nanotubes, Journal of Computational and Theoretical Nanoscience, 13(2016), 9158–9161.

243.                   Y. Huo, Jia-Bao Liu, M. Imran, M. Saeed, M. R. Farahani, M. Azhar Iqbal, M. A. Malik , On Some Degree-Based Topological Indices of Line Graphs of TiO2[m,n] Nanotubes, Journal of Computational and Theoretical Nanoscience, 13(2016), 9131–9135.

244.                   L. Yan, Y. Li, S. Hayat, H. M. A. Siddiqui, M. Imran, S. Ahmad, M. R. Farahani, On degree-based and frustration related topological indices of single-walled titania nanotubes, Journal of Computational and Theoretical Nanoscience, 13(2016), 9027-9032.

245.                   L. Yan, Y. Li, M. Saeed, M. Imran, M. R. Farahani, M. A. Malik, On multiple Zagreb indices of boron and boron-α nanotubes, Journal of Computational and Theoretical Nanoscience, 13(2016), 9014-9017.

246.                   L. Yan, Y. Li, M. R. Farahani, M. Imran, M. R. Rajesh Kanna, Computing the Szeged, revised Szeged and normalized revised Szeged indices of the polycyclic aromatic hydrocarbons PAHk, Journal of Computational and Theoretical Nanoscience, 13(2016), 8874-8878.

247.                   L. Yan, Y. Li, M. R. Farahani, M. Imran, Sadhana and PI Polynomials and their indices of an infinite class of the titania nanotubes TiO2(m, n), Journal of Computational and Theoretical Nanoscience, 13(2016), 8772-8775.

248.                   W. Gao, M. K. Jamil, M. R. Farahani, M. Imran, Certain topological indices of titania carbon nanotubes TiO2[m,n], Journal of Computational and Theoretical Nanoscience, 13(2016), 7324-7328.

249.                   W. Gao, M. N. Husin, M. R. Farahani, M. Imran, On the edges version of atom-bond connectivity index of nanotubes, Journal of Computational and Theoretical Nanoscience, 13(2016), 6733-6740.

250.                   W. Gao, M. N. Husin, M. R. Farahani, M. Imran, On the edges version of atom-bond connectivity and geometric arithmetic indices of nanocones CNCk[n], Journal of Computational and Theoretical Nanoscience, 13(2016), 6741-6746.

251.                   M. Imran, On zig-zag chain graphs generated by regular hexagons with unbounded metric dimension, Utilitas Mathematica, 100(2016), 411-421.

252.                   S. Akhter, M. Imran, Z. Raza, On general sum-connectivity index and general Randic index of cacti, Journal of Inequalities and Applications, 2016: 300, doi: 10.1186/s13660-016-1250-6.

253.                   M. K. Siddiqui, M. Naeem, N. A. Rehman, M. Imran, Computing topological indices of certain networks, Journal of Optoelectronics and Advanced Materials, 18(9-10)(2016), 884-892.

254.                   S. Akhter, M. Imran, Sharp bounds on general sum-connectivity index of four operations on graphs, Journal of Inequalities and Applications, 2016: 241, doi: 10.1186/s13660-016-1186-x.

255.                   M. Imran, On the metric dimension of barycentric subdivision of Cayley graphs, Acta Mathematica Applicatae Sinica, English Series, 32(4)(2016), 1067-1072.

256.                   W. Gao, M. R. Farahani, M. Imran, M. R. Rajesh Kanna, Distance-based topological polynomials and indices of friendship graphs, SpringerPlus, (2016) 5: 1563, DOI 10.1186/s40064-016-3271-5.

257.                   M. R. Farahani, M. R. Rajesh Kanna, M. K. Jamil, M. Imran, Computing the M-polynomial of benezenoid molecular graphs, Science International, 28(4)(2016), 3251-3255.

258.                   M. R. Farahani, H. M. A. Siddiqui, S. Baby, M. Imran, M. K. Siddiqui, The second and second sum-connectivity indices of TUC4C8(S) nanotubes, Journal of Optoelectronic and Biomedical Materials, 8(3)(2016), 107-111.

259.                   M. Imran, S. Hayat, On counting polynomials of certain polyomino chains, Bulgarian Chemical Communications, 48(2)(2016), 332-337.

260.                   M. Imran, H. U. Afzal, A. Q. Baig, On super edge-magic deficiency of volvox and dumbbell graphs, AKCE International Journal of Graphs and Combinatorics, 13(2016), 112-119.

261.                   M. N. Husin, R. Hasni, N. E. Arif, M. Imran, On topological indices of certain families of nanostar dendrimers, Molecules 2016, 21, 821; doi:10.3390/molecules21070821.

262.                   S. Akhter, M. Imran, On molecular topological properties of benzenoid structures, Canadian Journal of Chemistry, 94(2016), 687-698.

263.                   S. Akhter, M. Imran, On degree based topological descriptors of strong product graphs, Canadian Journal of Chemistry, 94(2016), 559-565.

264.                   M. Imran, A. Q. Baig, H. Ali, S. U. Rehman, On topological properties of poly honeycomb networks, Periodica Mathematica Hungrica, 73(2016), 100-119.

265.                   W. Gao, M. K. Siddiqui, M. Imran, M. K. Jamil, M. R. Farahani, Forgotten topological index of chemical structure in drugs, Saudi Pharmaceutical Journal, 24(2016), 258-264.

266.                   M. Imran, H. M. A. Siddiqui, Computing the metric dimension of convex polytopes generated by wheel related graphs, Acta Mathematica Hungrica, 149(1)(2016), 10-30.

267.                   S. Ahmad, U. Ahmad, M. Imran, N. Farah, The Omega and Sadhana polynomials of TUC4[p,q] nanotubes, Canadian Journal of Chemistry, 94(2016), 490-493.

268.                   M. K. Jamil, M. R. Farahani, M. Imran, M. A. Malik, Computing eccentric version of second Zagreb index of polycyclic aromatic hydrocarbons (PAHk), Applied Mathematics and  Nonlinear Sciences, 1(1)(2016), 247-252.

269.                   M. R. Farahani, M. Imran, D. Lee, M. R. Kanna, Computing the Cluj-Ilmenau index of V-phenylenic nanotubes and nanotori, Journal of Chemical, Biological and Physical Sciences, 6(2)(2016), 521-528.

270.                   M. Imran, S. A. Bokhary, A. Q. Baig, On the metric dimension of rotationally symmetric graphs, Journal of Algebra Combinatorics Discrete Structures and Applications, 3(2)(2016), 45-59.

271.                   M. Imran, S. A. Bokhary, A. Q. Baig, I. Tomescu, On the metric dimension of convex polytopes with pendant edges, Ars Combinatoria, 125(2016), 433-447.

272.                   M. Imran, A. Q. Baig, S. A. Bokhary, On the metric dimension of rotationally-symmetric graphs, Ars Combinatoria, 124(2016), 111-128.

273.                   M. Imran, A. Q. Baig, H. Ali, On molecular topological properties of hex derived networks, Journal of Chemometrics, 30(2016), 121-129.

274.                   M. K. Siddiqui, M. Imran, A. Ahmad, On Zagreb indices, Zagreb polynomials of some nanostar dendrimers, Applied Mathematics and Computation, 280(2016), 132-139.

275.                   S. A. Bokhary, M. Imran, S. Manzoor, On molecular topological properties of dendrimers, Canadian Journal of Chemistry, 94(2)(2016), 120-125.

276.                   M. Imran, A. Q. Baig, H. Ali, On topological properties of dominating David derived networks, Canadian Journal of Chemistry, 94(2)(2016), 137-148.

277.                   M. R. Farahani, M. K. Jamil, M. Imran, Vertex PIv Topological Index of Titania Carbon Nanotubes TiO2(m,n), Applied Mathematics and Nonlinear Sciences, 1(1)(2016), 170-176.

278.                   A. Ahmad, M. Imran, O. Al-Mushayt, S. A. Bokhary, On the metric dimension of barycentric subdivision of Cayley graphs Cay(Zn\oplus Zm),  Miskolc Mathematical Notes, 16(2)(2015), 637-646.

279.                   S. Hayat, M. A. Malik, M. Imran, Computing topological indices of honeycomb derived networks, Romanian Journal of Information Science and Technology, 18(2)(2015), 144-165.

280.                   M. A. Malik, M. Imran, On multiple Zagreb indices of TiO2 nanotubes, Acta Chimia Slovenica, 62(4)(2015), 973-976.

281.                   M. Imran, M. Naeem, A. Q. Baig, On vertex covering number of rotationally-symmetric graphs, Utilitas Mathematica, 97(2015), 295-307.

282.                   M. Imran, M. Salman, M. E. Rehmat, I. Javaid, The crossing number of chordal ring networks, Periodica Mathematica Hungrica, 71(2)(2015), 193-209.f

283.                   M. N. Husin, R. Hasni, M. Imran, H. Kamarulhaili, The edge version of geometric arithmetic index of nanotubes and nanotori, Optoelectronics and Advanced Materials-Rapid Communications, 9(9-10)(2015), 1292-1300.

284.                   M. A. Malik, M. Imran, Computing anti-kekule number of certain nanotubes and nanocones, Studia UBB Chemia, 60(2)(2015), 229-239.

285.                   A. Q. Baig, M. Imran, H. Ali, On topological indices of Poly Oxide, Poly Silicate, DOX and DSL networks, Canadian Journal of Chemistry, 93(2015), 730-739.

286.                   S. Hayat, A. Khan, F. Yousafzai, M. Imran, Bipartite edge frustration of cactus chains, Optoelectronics and Advanced Materials-Rapid Communications, 9(5-6) (2015), 869-872.

287.                   S. Hayat, A. Khan, F. Yousafzai, M. Imran, M. U. Rehman, On spectrum related topological descriptors of carbon nanocones, Optoelectronics and Advanced Materials-Rapid Communications, 9(5-6) (2015), 798-802.

288.                   M. Imran, M. K. Siddiqui, M. Numan, Super d-antimagic labeling of uniform subdivision of wheel, UPB Scientific Bulletin Series A, 77(2)(2015), 227-240.

289.                   M. Imran, S. A. Bokhary, A. Ahmad, Total vertex irregularity strength of grid-like plane graphs, Science International, 27(2)(2015), 821-828.

290.                   M. Imran, S. Hayat, M. K. Shafiq, Valency based topological indices of organosilicon dendrimers and cactus chains, Optoelectronics and Advanced Materials-Rapid Communications, 9(5-6)(2015), 821-830.

291.                   A. Q. Baig, M. Imran, H. Ali, S. U. Rehman, Computing topological polynomials of certain nanostructures, Journal of Optoelectronics and Advanced Materials, 9(5-6)(2015), 877-883.

292.                   H. M. A. Siddiqui, M. Imran, Computing the metric and partition dimension of H-Naphtalenic and VC5C7 nanotubes, Journal of Optoelectronics and Advanced Materials, 9(5-6)(2015), 790-794.

293.                   S. Hayat, A. Khan, F. Yousafzai, M. Imran, Computational results on inertia indices, signature, and nullity of C4C8(R) nanotube, Optoelectronics and Advanced Materials-Rapid Communications, 9(3-4) (2015), 478-481.

294.                   A. Q. Baig, M. Imran, H. Ali, Computing omega, Sadhana and PI polynomials of benezoid carbon nanotubes, Optoelectronics and Advanced Materials-Rapid Communications, 9(1-2) (2015), 248-255.

295.                   I. Tomescu, M. Imran, R-sets and metric dimension of necklace graphs, Applied Mathematics & Information Sciences, 9(1)(2015), 63-67.

296.                   M. K. Zafar, A. Q. Baig, M. Imran, A. Semanicova-Fenovcikova, Energy of some wheel related graphs, Mathematical Sciences Letters, 4(1)(2015), 5-8.

297.                   S. Hayat, M. Imran, Computation of certain topological indices of nanotubes, Journal of Computational and Theoretical Nanoscience, 12(1)(2015), 70-76.

298.                   H. M. A. Siddiqui, M. Imran, Computation of metric dimension and partition dimension of nanotubes, Journal of Computational and Theoretical Nanoscience, 12(2)(2015), 199-203.

299.                   S. Hayat, M. Imran, Computation of certain topological indices of nanotubes covered by C5 and C7, Journal of Computational and Theoretical Nanoscience, 12(4)(2015), 533-541.

300.                   S. Hayat, M. Imran, On degree based topological indices of certain nanotubes, Journal of Computational and Theoretical Nanoscience, 12(8)(2015), 1599-1605.

301.                   M. A. Malik, S. Hayat, M. Imran, On the anti-Kekule number of nanotubes and nanocones, Journal of Computational and Theoretical Nanoscience, 12(10)(2015), 3125-3129.

302.                   M. Imran, A. Q. Baig, S. A. Bokhary, E. T. Baskoro, New classes of convex polytopes with constant metric dimension, Utilitas Mathematica, 95(2014), 97-111.

303.                   S. Hayat, M. Imran, On topological properties of nanocones CNCk[n], Studia UBB Chemia, 59(4)(2014), 113-128.

304.                   M. Imran, S. Hayat, M. K. Shafiq, Computing omega and Sadhana polynomials of carbon nanotubes, Optoelectronics and Advanced Materials-Rapid Communications, 8(11-12) (2014), 1218-1224.

305.                   M. Imran, S. Hayat, M. K. Shafiq, On topological indices of nanostar dendiremers and polymino chains, Optoelectronics and Advanced Materials-Rapid Communications, 8(9-10) (2014), 948-954.

306.                   M. Imran, S. Hayat, Computation of topological indices of Aztec diamonds, Science International, 26(2) (2014), 1407-1412.

307.                   M. Imran, A. Q. Baig, M. K. Shafiq, I. Tomescu, On metric dimension of generalized Petersen graphs P(n,3), Ars Combinatoria, 117(2014), 113-130.

308.                   I. Javaid, F. Khalid, A. Ahmad, M. Imran, A weaker version of sum labeling of graphs, Mathematical Reports, 16(3)(2014), 413-420.

309.                   M. Imran, S. Hayat, M. Y. H. Malik, On topological indices of certain interconnection networks, Applied Mathematics and Computation, 244(2014), 936-951.

310.                   M. Imran, M. A. Malik, M. Y. H. Malik, On super edge-magic total labeling of certain classes of graphs, International Journal of Mathematics and Soft Computing, 4(2)(2014), 49-57.

311.                   H. M. A. Siddiqui, M. Imran, Computing the metric dimension of wheel related graphs, Applied Mathematics and Computation, 242(2014), 624-632.

312.                   M. Imran, M. A. Malik, M. Y. H. Malik, On super edge-magic total labeling of reflexive w-trees, Science International, 26(2) (2014), 537-545.

313.                   S. Hayat, M. Imran, Computation of topological indices of certain networks, Applied Mathematics and Computation, 240(2014), 213-228.

314.                   M. Imran, S. A. Bokhary, Resolvability in double-step circulant graphs, UPB Scientific Bulletin Series A, 76(2)(2014), 31-42.

315.                   A. Q. Baig, H. U. Afzal, M. Imran, I. Javaid, Super edge-magic labeling of volvox and pancyclic graphs, Utilitas Mathematica, 93(2014), 49-56.

316.                   H. M. A. Siddiqui, M. Imran, Computing metric and partition dimension of 2-dimensional lattices of certain nanotubes, Journal of Computational and Theoretical Nanoscience, 11 (12)(2014), 2419-2423.

317.                   R. Naeem, M. Imran, Metric dimension and exchange property for resolving sets in rotationally-symmetric graphs, Applied Mathematics & Information Sciences, 8(4)(2014), 1665-1674.

318.                   M. Imran, A. Ahmad, S. A. Bokhary, A. Semanicova-Fenovcikova, On classes of regular graphs with constant metric dimension, Acta Mathematica Scientia, 33(2013), 187-206.

319.                   M. Imran, Some results on discrepancies between metric dimension and partition dimension of a graph, Science International, 25(2) (2013), 175-179.

320.                   M. Imran, A. Q. Baig, M. K. Shafiq, A. Semanicova–Fenovcikova, Classes of convex polytopes with constant metric dimension, Utilitas Mathematica, 90(2013), 85-99.

321.                   S. A. Bokhary, Ali Ahmad, M. Imran, On vertex irregular total labeling of Cartesian product of two paths, Utilitas Mathematica, 91(2013), 287-299.

322.                   A. Ahmad, S. A. Bokhary, M. Imran, A. Q. Baig, Vertex irregular total labeling of cubic graphs, Utilitas Mathematica, 91(2013), 239-249.

323.                   M. Imran, S. A. Bokhary, A. Q. Baig, On the metric dimension of convex polytopes, AKCE International Journal of Graphs and Combinatorics, 10(2013), 293-305.

324.                   M. Imran, On dimension of some infinite regular graphs generated by infinite hexagonal grid, Utilitas Mathematica, 92(2013), 3-15.

325.                   M. Imran, F. Bashir, A. Q. Baig, S. A. Bokhary, A. Riyasat, I. Tomescu, On metric dimension of flower graphs fn×m and convex polytopes, Utilitas Mathematica, 92(2013), 389-409.

326.                   M. Imran, A. Q. Baig, S. A. Bokhary, I. Javaid, On the metric dimension of circulant graphs, Applied Mathematics Letters, 25(2012), 320-325.

327.                   A. Q. Baig, M. Imran, A. Semanicova–Fenovcikova, I. Javaid, Super edge-magic deficiency of graphs, Utilitas Mathematica, 87(2012), 355-364.

328.                   M. Ali, G. Ali, M. Imran, A. Q. Baig, M. K. Shafiq, On the metric dimension of Mobius ladders, Ars Combinatoria, 105 (2012), 403-410.

329.                   M. Imran, A. Q. Baig, Ali Ahmad, Families of plane graphs with constant metric dimension, Utilitas Mathematica, 88(2012), 43-57.

330.                   A. Ahmad, E. T. Baskoro, M. Imran, Total vertex irregularity strength of disjoint union of Helm graphs, Discussiones Mathematicae Graph Theory, 32(2012), 427- 434.

331.                   A. Ahmad, M. Imran, A. Semanicova-Fenovcikova, Relation between mean labeling and (a; d)-edge-antimagic vertex labeling, Science International, 24(1) (2012), 7-9.

332.                   S. A. Bokhary, M. Imran, I. Javaid, On vertex irregular total labeling of rotationally-symmetric convex polytopes, Science International, 24(3)(2012), 251-256.

333.                   A. Q. Baig, M. Imran, Permutation labeling of graphs, Journal of Combinatorial Mathematics & Combinatorial Computing (JCMCC), 81(2012), 3-9.

334.                   M. Imran, A. Q. Baig, An infinite class of convex polytopes with constant metric dimension, Journal of Combinatorial Mathematics & Combinatorial Computing (JCMCC), 81(2012), 135-143

335.                   A. Ahmad, M. F. Nadeem, M. K. Siddiquie, M. Imran, On super edge-magic deficiency of kite graphs, Ars Combinatoria, 107 (2012), 201-208.

336.                   M. Imran, S. A. Bokhary, A. Q. Baig, Families of rotationally-symmetric plane graph with constant metric dimension, Southeast Asian Bulletin of Mathematics, 36(2012), 663-675.

337.                   A.  Ahmad, A. Q. Baig, M. Imran, On super edge-magicness of graphs, Utilitas Mathematica, 89(2012), 373-380.

338.                   I. Tomescu, M. Imran, Metric dimension and R-sets of connected graphs, Graphs and Combinatorics, 27(2011), 585-591.

339.                   M. Imran, S. A. Bokhary, Ali Ahmad, On the metric dimension of two classes of convex polytopes, Journal of Combinatorial Mathematics & Combinatorial Computing (JCMCC), 77(2011), 51-63.

340.                   M. Imran, A. Q. Baig, A special class of convex polytopes with constant metric dimension, Journal of Combinatorial Mathematics & Combinatorial Computing (JCMCC), 77(2011), 197-205.

341.                   M. Imran, S. A. Bokhary, A. Q. Baig, On families of convex polytopes with constant metric dimension, Computers and Mathematics with Applications, 60(9)(2010), 2629-2638.

342.                   I. Tomescu, M. Imran, On metric dimensions and partition dimensions of some infinite regular graphs, Bull. Math. Soc. Sci. Math. Roumanie, 52(100), 4(2009), 461-472.

 

b)      Conference Papers/Proceedings

1.       M. Syam, M. Imran, R.  Quzli, A. Abohatem, M. Zain, A. Saadi, The Effects of the Flipping Classroom and Peer Instructional Models on Learning Mathematics, ISSN: 2188-1162, The European Conference on Education 2023: Official Conference Proceedings https://doi.org/10.22492/issn.2188-1162.2023.48. 

2. D. Aldila, Z. Zainal Abidin, M. Imran, J. Widakdo, Preface of the Conference Proceeding of the 9th ISCPMS 2023 in conjunction with AUA Academic Conference 2023, ITM Web of Conferences 61, 00001 (2024), DOI: https://doi.org/10.1051/itmconf/20246100001.

 Prince Mohammad Bin Fahd University (PMU),

Al Khobar, Saudi Arabia

Google Scholar Link: https://scholar.google.com/citations?user=hhPuEkUAAAAJ

Scopus Profile Link: https://www.scopus.com/authid/detail.uri?authorId=57204052302

  • Associate Research Professor, Prince Mohammad Bin Fahd University (PMU), Al Khobar, Saudi Arabia (Oct. 2024-todate)
  • Associate Professor, Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates (Sep. 2020-July 2024)
  • Assistant Professor, Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates (Aug. 2016-Aug. 2020)
  • Postdoctoral Researcher, Department of Mathematics and Applied Mathematics, University of the Free State, Bloemfontein, South Africa (Feb. 2016-Jul. 2016)
  • Assistant Professor, Department of Mathematics, School of Natural Sciences, National University of Sciences & Technology (NUST), Islamabad, Pakistan (May 2011-Jan. 2016)
  • Tutor of Mathematics, Virtual University of Pakistan (VU), Lahore, Pakistan (Apr 2004-Sep 2005).

 

Undergraduate Courses 

  • MATH 105-Calculus I (6 times)
  • MATH 110-Calculus II (3 times)
  • MATH 130-Calculus I for Engineering (2 times)
  • MATH 135- Calculus II for Engineering (6 times)
  • MATH 115- Calculus Business & Economics
  • MATH 120- Contemporary Applications of Mathematics (2 times)
  • CENG 202-Discrete Mathematics (2 times)
  • NMATH 205- Set Theory & Logic (4 times)
  • MATH 140-Linear Algebra 1
  • MATH 321- Linear Programming
  • MATH 215-Introduction to Analysis
  • MATH 342-Graph Theory (5 times)
  • MATH 495-Research Project (2 times)
  • MATH 500-Internship (2 times)
  • MATH-221, Number Theory (2 times)
  • MATH-161, Discrete Mathematics (3 times)
  • MATH-476, Cryptography (2 times)
  • MATH-344, Metric and Topological Spaces
  • MATH-223, Linear Algebra-1
  • MATH-121, Linear Algebra & ODEs
  • MATH-231, Complex/Fourier Analysis & PDEs

Graduate Courses 

  • MATH-949, Combinatorics (4 times)
  • MATH-941, Graph Theory (2 times)
  • MATH-934, Optimization Theory-1
  • MATH-561-General Topology
  • MATH-695, Independent Studies
  • MATH-795, Independent Studies
  • MATH-699, Master Thesis
  • COSR-900, PhD Dissertation Research

 

 

 

  • Graph Theory
  • Distances in Graphs
  • Chemical Graph Theory
  • Graph Labeling
  • Spectral Graph Theory