Dr. Muhammad Salman
Associate Professor
PhD Mathematics
Other Websites
https://orcid.org/0000-0003-1725-4202https://www.webofscience.com/wos/author/author-searchResearch Supervision Capacity
About Me
Dr. Muhammad Salman is a Tenured Associate Professor of Mathematics at The Islamia University of Bahawalpur, Pakistan. He received his PhD in Mathematics from Bahauddin Zakariya University, Multan, with specialization in graph-theoretic resolvability parameters. Throughout his academic career, he has developed a strong research profile in graph theory and combinatorics, with particular emphasis on metric dimension and its variants, domination theory, graph coloring, topological indices, chemical graph theory, spectral graph theory, and privacy-related graph parameters. Dr. Salman has authored more than sixty peer-reviewed research articles in internationally recognized journals and has established research collaborations with scholars from several countries. As an HEC-approved PhD supervisor, he has successfully supervised 135 MPhil/MS theses and six PhD dissertations. Beyond his research, Dr. Salman is actively involved in academic leadership. He has served as academic coordinator, program evaluator, Olympiad organizer, and board member at various universities. He is an HEC-approved PhD supervisor and has acted as an external examiner for over 70+ postgraduate theses. A member of the National Mathematical Society of Pakistan, he is also a long-time reviewer for Mathematical Reviews of the American Mathematical Society. He is also an active and recognized teacher of International Youth Math Challenge (IYMC).
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Contact Info
Research Publication
1. Noreen Tahira and Salman Muhammad. 2026. “Distance-based connectivity indices for chain polygonal cactus networks and their applications in wireless communication systems.” Boletim da Sociedade Paranaense de Matemática 44. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/78071
2. Salman, Muhammad and Iqbal, Arslan and Imran, Muhammad. 2026. “Navigational ambiguity in robot path-finding: Complement metric dimension of symmetric convex planar spaces.” Journal of King Saud University-Sci / Scientific Scholar 0. 10.25259/JKSUS_1331_2025
3. Yan, Zhang and Salman, Muhammad and Shahzaib, Syed and Khalid, Imran and Karamti, Hanen and. 2026. “Generalized M-polynomial and graphical invariants of silicate cage networks with applications to property prediction.” AIMS Mathematics / American Institute of Mathematical Sciences (AIMS) Press 11. 10.3934/math.2026880
4. Rehamn, Masood Ur and Cai, Gaixiang and Iqbal, Javaria and Salman, Muhammad. 2026. “Leap Zagreb indices of certain chemical structures: a topological analysis.” Main Group Metal Chemistry / Walter de Gruyter GmbH 49. https://doi.org/10.1515/mgmc-2025-0015
5. Noreen, Tahira and Salman, Muhammad. 2026. “Indices analysis of hexa organic molecular structures together with fundamental insights of a novel connectivity index.” Main Group Metal Chemistry / Walter de Gruyter GmbH 49. https://doi.org/10.1515/mgmc-2025-0016
6. Imran, Muhammad and Salman, Muhammad and Tahoor, Tahoor and Ali, Faisal and Hasni, Roslan. 2026. “Structural identifiability in crystalline molecular networks using strong metric dimension.” Scientific Reports / Springer Science and Business Media LLC 0. 10.1038/s41598-026-46610-x
7. Shahzaib, Syed and Salman, Muhammad and Rehman, Masood Ur. 2025. “Degree-based fuzzy indices analysis of two snake graphs.” Ain Shams Engineering Journal / Elsevier BV 16. https://doi.org/10.1016/j.asej.2025.103647
8. Khan, Abdul Rauf and Ullah, Zafar and Qadir, Farhan and Salman, Muhammad and Cancan, Murat. 2025. “Mathematical modeling and estimation of physicochemical properties of non-steroidal anti-inflammatory drugs via an innovative approach of biquadratic regression analysis.” Current Organic Synthesis / Bentham Science Publishers Ltd. 22. https://doi.org/10.2174/0115701794366751250308101920
9. Ahmad, Niaz and Salman, Muhammad and Ali, Faisal. 2025. “The Metric Differential: An Efficient Approach for a Navigating Agent to Rapidly Locate Itself in a Graph Space Through Optimal Landmarks.” Arabian Journal for Science and Engineering / Springer Science and Business Media LLC 50. https://doi.org/10.1007/s13369-024-09893-8
10. Hussain, Abid and Salman, Muhammad. 2025. “Dom-coloring of grids: exact results and a general conjecture.” Boletim da Sociedade Paranaense de Matemática / Sociedade Paranaense de Matemática 43. 10.5269/bspm.77381
11. Masood Ur Rehman and Salman, Muhammad and Iqbal, Javaria. 2024. “Topological Characterization of Coronoid Structures via Valency Based Topological Indices.” Combinatorial Chemistry & High Throughput Screening / Bentham Science Publishers Ltd. 28. 10.2174/0113862073328860240910103148
12. Khurshid, Asim and Salman, Muhammad. 2024. “Computing the Energy of Certain Graphs based on Vertex Status.” Current Organic Synthesis / Bentham Science Publishers Ltd. 21. 10.2174/1570179420666230811124140
13. Iqbal, Javaria and Salman, Muhammad. 2024. “Zagreb Topological Properties of Hexa Organic Molecular Structures.” Current Organic Synthesis / Bentham Science Publishers Ltd. 21. 10.2174/1570179420666230707105700
14. Khan, Abdul Rauf and Ullah, Zafar and Imran, Muhammad and Salman, Muhammad and Zia, Arooj and Tchier, Fairouz and Hussain, Shahid. 2024. “Degree-based topological indices and entropies of diamond crystals.” Science Progress / SAGE Publications 107. 10.1177/00368504241271719
15. Javaid, I., Benish, H., Haider, A., and Salman, M. 2024. “Determining and distinguishing number of hypergraphs.” U. P. B. Scientific Bulletin, Series A 76. https://www.scientificbulletin.upb.ro/rev_docs_arhiva/full8c4_723187.pdf
16. Zhang, Xiujun and Salman, Muhammad and Rani, Anam and Tanveer, Rashna and Ali, Usman and Shao, Zehui. 2023. “Metric Identification of Vertices in Polygonal Cacti.” CMES-Computer Modeling in Engineering & Sciences / Tech Science Press 136. 10.32604/cmes.2023.025162
17. Javaid, Imran and Haider, Azeem and Salman, Muhammad and Mehtab, Sadaf. 2023. “Resolvability in Hypergraphs.” Contributions to Discrete Mathematics / University of Calgary 18. https://doi.org/10.55016/ojs/cdm.v18i2.62607
18. Mukhtar, Salman and Salman, Muhammad and Maden, Ayse Dilek and Ur Rehman, Masood. 2022. “Metric Properties of Non-Commuting Graph Associated to Two Groups.” International Journal of Foundations of Computer Science / World Scientific Pub Co Pte Ltd 33. https://doi.org/10.1142/S0129054122420229
19. Salman, Muhammad and Noreen, Tahira and Rehman, Masood Ur and Cao, Jinde and Abbas, Muhammad Zafar. 2022. “Non-commuting graph of the dihedral group determined by Hosoya parameters.” Alexandria Engineering Journal / Elsevier BV 61. https://doi.org/10.1016/j.aej.2021.09.008
20. Salman, Muhammad and Ali, Faisal and Masood Ur Rehman and Khalid, Imran. 2022. “Some Valency Oriented Molecular Invariants of Certain Networks.” Combinatorial Chemistry & High Throughput Screening / Bentham Science Publishers Ltd. 25. 10.2174/1386207323666201020145239
21. Salman, Muhammad and Rasheed, Nimra and Ur Rehman, Masood and Cao, Jinde. 2022. “On the metric determination of linear dependence graph.” Optimal Control Applications & Methods / Wiley 44. 10.1002/oca.2883
22. Rehman, Masood Ur and Salman, Muhammad and Khan, Sheraz and Maden, Ayse Dilek and Ali, Faisal. 2022. “Mostar index of graphs associated to groups.” Main Group Metal Chemistry / Walter de Gruyter GmbH 45. https://doi.org/10.1515/mgmc-2022-0015
23. Iqbal, Tanveer and Rafiq, Muhammad and Azhar, Muhammad Naeem and Salman, Muhammad and Khalid, Imran. 2022. “On the Edge Resolvability of Double Generalized Petersen Graphs.” Journal of Mathematics / Wiley 2022. https://doi.org/10.1155/2022/6490698
24. Khurshid, Asim and Salman, Muhammad and Rehman, Masood Ur and Rahim, Mohammad Tariq. 2022. “Energy of Certain Classes of Graphs Determined by Their Laplacian Degree Product Adjacency Spectrum.” Journal of Mathrematics / Wiley 2022. https://doi.org/10.1155/2022/5946616
25. Zill-E-Shams and Salman, Muhammad and Ali, Usman. 2022. “On Maximal Det-Independent (Res-Independent) Sets in Graphs.” Graphs and Combinatorics / Springer Science and Business Media LLC 38. https://doi.org/10.1007/s00373-021-02452-0
26. Naqvi, Shabbar and Salman, Muhammad and Ehtisham, Muhammad and Fazil, Muhammad and Rehman, Masood Ur and. 2021. “On the neighbor-distinguishing in generalized Petersen graphs.” AIMS Mathematics / American Institute of Mathematical Sciences (AIMS) 6. 10.3934/math.2021797
27. Tang, Jiang-Hua and Noreen, Tahira and Salman, Muhammad and Rehman, Masood Ur and Liu, Jia-Bao. 2021. “(k,l)-anonymity in wheel related social graphs measured on the base of k-metric antidimension.” Journal of Mathematics / Wiley 2021. https://doi.org/10.1155/2021/8038253
28. Abbas, Ghulam and Rani, Anam and Salman, Muhammad and Noreen, Tahira and Ali, Usman. 2021. “Hosoya properties of the commuting graph associated with the group of symmetries.” Walter de Gruyter GmbH 44. https://doi.org/10.1515/mgmc-2021-0017
29. Alsaadi, Fawaz E. and Ali, Faisal and Khalid, Imran and Rehman, Masood Ur and Salman, Muhammad and Alassafi, Madini Obad and Cao, Jinde and. 2021. “Quantifying some distance topological properties of the non-zero component graph.” AIMS Mathematics / American Institute of Mathematical Sciences (AIMS) 6. 10.3934/math.2021209
30. Wei, Changcheng and Salman, Muhammad and Shahzaib, Syed and Rehman, Masood Ur and Fang, Juanyan. 2021. “Classes of Planar Graphs with Constant Edge Metric Dimension.” Complexity / Wiley 2021. https://doi.org/10.1155/2021/5599274
31. Ajmal, Muhammad and Cao, Xiwang and Salman, Muhammad and Liu, Jia-Bao and Rehman, Masood Ur and. 2021. “A special class of triple starlike trees characterized by Laplacian spectrum.” AIMS Mathematics / American Institute of Mathematical Sciences (AIMS) 6. 10.3934/math.2021260
32. Zill-e-Shams and Salman, Muhammad and Ullah, Zafar and Ali, Usman. 2021. “Minimum partition of an r-independence system.” JOurnal of Mathematics / Wiley 2021. https://doi.org/10.1155/2021/7163840
33. Chu, Zheng-Qing and Salman, Muhammad and Munir, Asia and Khalid, Imran and Rehman, Masood Ur and Liu, Jia-Bao and Ali, Faisal. 2020. “Some topological indices of dendrimers determined by their Banhatti polynomials.” Heterocyclic Communications / Walter de Gruyter GmbH 26. https://doi.org/10.1515/hc-2020-0102
34. Liu, Jia-Bao and Khalid, Imran and Rahim, Mohammad Tariq and Rehman, Masood Ur and Ali, Faisal and Salman, Muhammad. 2020. “Eccentric topological properties of a graph associated to a finite dimensional vector space.” Main Group Metal Chemistry / Walter de Gruyter GmbH 43. https://doi.org/10.1515/mgmc-2020-0020
35. Wei, Chang-Cheng and Salman, Muhammad and Ali, Usman and Rehman, Masood Ur and Ahmad Khan, Muhammad Aqeel and Chaudary, Muhammad Hasanain and Ahmad, Farooq. 2020. “Some Topological Invariants of Graphs Associated with the Group of Symmetries.” Journal of Chemistry / Wiley 2020. https://doi.org/10.1155/2020/6289518
36. Alsaadi, Fawaz E. and Salman, Muhammad and Rehman, Masood Ur and Khan, Abdul Rauf and Cao, Jinde and Alassafi, Madini Obad. 2020. “On the Geodesic Identification of Vertices in Convex Plane Graphs.” Mathematical Problems in Engineering / Wiley 2020. 10.1155/2020/7483291
37. Alsaadi, Fawaz E. and Salman, Muhammad and Ali, Faisal and Khalid, Imran and Cao, Jinde and Alassafi, Madini Obad and Rehman, Masood Ur. 2020. “An Algorithmic Approach to Compute the Metric Index of Chordal Ring Networks.” IEEE Access / Institute of Electrical and Electronics Engineers (IEEE) 8. 10.1109/ACCESS.2020.2990913
38. Khalid, Imran and Ali, Faisal and Salman, Muhammad. 2019. “On the Metric Index of Circulant Networks–An Algorithmic Approach.” IEEE Access / Institute of Electrical and Electronics Engineers (IEEE) 7. 10.1109/ACCESS.2019.2914933
39. Javaid, I., Salman, M., Murtaza, M., Iftikhar, F., and Imran, M. 2019. “Weak total resolving sets in graphs.” Utilitas Mathematica / Combinatorial Press 110. https://combinatorialpress.com/um/vol110/
40. Salman, Muhammad; Javaid, Imran; Chaudhry, Muhammad Anwar. 2018. “Resolving share and topological index.” Utilitas Mathematica / Combinatorial Press 108. https://combinatorialpress.com/um/vol108/
41. Faisal Ali Abdul Hafeez Muhammad Salman Shuliang Huang. 2018. “On computation of some distance-based topological indices of circulant networks.” Hacettepe Journal of Mathematics & Statistics / Dergi Park Akademik 47. https://dergipark.org.tr/en/pub/hujms/issue/41011/494536
42. Javaid, Imran; Aasi, M. Shahbaz; Irshad, Iqra; Salman, Muhammad. 2018. “On fixing sets of composition and corona product of graphs.” Utilitas Mathematica / Combinatorial Press 109. https://combinatorialpress.com/um/vol109/
43. Salman, Muhammad; Javaid, Imran; Chaudhry, Muhammad Anwar. 2018. “Minimum fault-tolerant, local and strong metric dimension of graphs.” Ars Combinatorica / Combinatorial Press 138. https://combinatorialpress.com/ars/vol138/
44. Fazil, Muhammad and Javaid, Imran and Salman, Muhammad and Ali, Usman. 2016. “Locating-dominating sets in hypergraphs.” Periodica Mathematica Hungrica / Springer Science and Business Media LLC 72. 10.1007/s10998-016-0121-8
45. Ali, Faisal and Salman, Muhammad and Huang, Shuliang. 2016. “On the Commuting Graph of Dihedral Group.” Communications in Algebra / Informa UK Limited 44. 10.1080/00927872.2015.1053488
46. Imran, Muhammad and Salman, Muhammad and Mezab-e-Rehmat and Javaid, Imran. 2015. “The crossing number of chordal ring networks.” Periodica Mathematica Hungrica / Springer Science and Business Media LLC 71. 10.1007/s10998-015-0097-9
47. Javaid, I., Salman, M., and Chaudhry, M.A. 2014. “Graphs of order n with fault-tolerant partition dimension n-1.” U. P. B. Scientific Bulletin, Series A 76. https://www.scientificbulletin.upb.ro/rev_docs_arhiva/full9cd_767413.pdf
48. Naz, Saba and Salman, Muhammad and Ali, Usman and Javaid, Imran and Bokhary, Syed Ahtsham-ul-Haq. 2014. “On the constant metric dimension of generalized petersen graphs P(n.” Acta Mathematica Sinica, English Series / Springer Science and Business Media LLC 30. 10.1007/s10114-014-2372-8
49. Javaid, Imran; Ismail, Abida; Salman, Muhammad. 2013. “Labeling of chordal rings.” Utilitas Mathematica / Combinatorial Press 90. https://combinatorialpress.com/um/vol90/
50. Salman, Muhammad and Chaudhry, Muhammad Anwar and Javaid, Imran. 2013. “On the locatic number of graphs.” International Journal of Computer Mathematics / Informa UK Limited 90. http://dx.doi.org/10.1080/00207160.2012.749346
51. Ahmad, Shabbir and Chaudhry, Muhammad Anwar and Javaid, Imran and Salman, Muhammad. 2013. “On the metric dimension of generalized Petersen graphs.” Quaestiones Mathematicae / National Inquiry Services Center (NISC) 36. http://dx.doi.org/10.2989/16073606.2013.779957
52. Salman, M., Javaid, I., and Chaudhry, M.A. 2012. “2-Size resolvability in graphs.” Applied Mathematics & Information Sciences / Natural Science Publishing 6. http://www.naturalspublishing.com/Article.asp?ArtcID=455
53. Salman, Muhammad and Javaid, Imran and Chaudhry, Muhammad Anwar. 2012. “Resolvability in circulant graphs.” Acta Mathematica Sinica, English Series / Springer Science and Business Media LLC 28. 10.1007/s10114-012-0417-4
54. Chaudhry, Muhammad Anwar; Javaid, Imran; Salman, Muhammad. 2010. “Fault-tolerant metric and partition dimension of graphs.” Utilitas Mathematica / Combinatorial Press 83. https://combinatorialpress.com/um/vol83/
55. Javaid, Imran; Salman, Muhammad; Chaudhry, Muhammad Anwar; Shokat, Sara. 2009. “Fault-tolerance in resolvability.” Utilitas Mathematica / Combinatorial Press 80. https://combinatorialpress.com/um/vol80/
The Islamia University of Bahawalpur was established in the year 1975 by upgrading historical institute of the Jamia Abbasia.
