Prof. Usman Ali
https://profiles.bzu.edu.pk/usmanali
Qualification:
PhD (ASSMS, GCU, Lahore (2009)) along with Post-Doctorate (Institut de Mathe`matiques de Jussieu-Paris Rive Gauche, Paris, France (2020)).
Research Interests:
Knot Theory, Combinatorics, Algebraic Graph Theory, Matroid Theory, Low-Dimensional Topology
Email Address:
Other Information:
RESEARCH GRANTS: 1. Title: Properties of extremal graphs for general sum-connectivity index of transformation graphs. Sponsored by: Deanship of Scientific Research Saudi Arabia (Nasher Track# 216021) Year: 2021 (Completed) Amount: 30000 (SAR) 2. Title: Sharp bounds for the inverse sum index of graph operations. Sponsored by: Deanship of Scientific Research Saudi Arabia (Nasher Track# 216006). Year: 2021 Completed). Amount: 30000 (SAR. 3. Title: Degree-based topological indices of Polysaccharides: amylose and blue starch iodine complex. Sponsored by: Deanship of Scientific Research Saudi Arabia (Nasher Track# 206152). Year: 2020 (Completed). Amount: 30000 (SAR) 4. Title: Interplay between Knot Theory and Matroids. Sponsored by: Innovative Learning Pakistan. Year: 2019 (Completed). Amount: 3900 (Euro). 5. Title: Combinatorial Properties of Simple Braids and Fibonacci Numbers. Sponsored by: Higher Education Commission of Pakistan. Year: 2010 (Completed). Amount: 0.5 million.
CV/Resume:
Research Papers
| 2024 | A Comparison between Certain Graph Parameters of Bi-swapped Networks and its Maximal Twin-Preserving Subgraphs with Application in Determining Complexity (Journal) A. Rani, A, Fahad, I. F. Hussain, U. Ali, M. Ashraf |
Journal: Measurement Sciences and Technology, Publisher: IOPscience, Vol.: 35, Issue: Pages: 1-24, |
| 2023 | Resolvability in Subdivision Graph of Circulant Graphs (Journal) S. A. Bokhary, K. Wahid, U. Ali |
Journal: Symmetry , Publisher: MDPI, Vol.: 15, Issue: 4 Pages: 1-9, |
| 2023 | Metric Identification of Vertices in Polygonal Cacti (Journal) X. Zhang, M. Salman, A. Rani, R. Tanveer, U. Ali, Z. Shao |
Journal: Computer Modeling in Engineering Sciences, Publisher: Tech Science Press, Vol.: 136, Issue: 01 Pages: 883-899, |
| 2023 | An Independence System as a Knot Invariant (Journal) I. F. Hussain, U. Ali Corresponding author |
Journal: Punjab University Journal of Mathematics, Publisher: Punjab University, Vol.: 55, Issue: 11-12 Pages: 413-425, |
| 2022 | Fault-Tolerant Resolvability of Swapped Optical Transpose Interconnection (Journal) I. F. Hussain, S. Afridi, A. M. Qureshi, G. Ali, U. Ali Corresponding author |
Journal: Journal of Mathematics, Publisher: Hindawi, Vol.: 2022, Issue: Pages: Article ID 8200046, 06 pages, |
| 2022 | On Maximal Det-Independent Res-Independent in Graphs Graphs and Combinatorics (Journal) Zill E- Shams, M. Salman, U. Ali Corresponding author |
Journal: Graphs and Combinatorics, Publisher: Springer, Vol.: 38, Issue: 44 Pages: 1-5, |
| 2022 | On the Existence of Fault-Tolerant Numbers of Two-Bridge Knots (Journal) I. F. Hussain, A. Rani, U. Ali Corresponding author |
Journal: Scientific Inquiry Review, Publisher: UMT, Vol.: 6, Issue: 4 Pages: 108-131, |
| 2022 | On Some Variations of Dominating Identification in Graphs (Journal) M. Fazil, I. F. Hussain, A. Akbar, U. Ali Corresponding author, |
Journal: Kuwait Journal of Science, Publisher: Science Direct, Vol.: 49, Issue: 04 Pages: , |
| 2022 | 2-Tuple Linguistic Fermatean Fuzzy MAGDM Based on the WASPAS Method for Selection of Solid Waste Disposal Location (Journal) M. Akram, U. Ali, G. S. Garcin, Z. Niaz, |
Journal: Mathematical Biosciences and Engineering, Publisher: AIMS Press, Vol.: 20, Issue: 02 Pages: 3811-3837, |
| 2021 | Properties of Total Transformation Graphs for General Sum-Connectivity Index (Journal) 12. A. Rani, M. Imran, A. Razzaque, U. Ali Corresponding Author |
Journal: Complexity, Publisher: Hindawi, Vol.: 2021, Issue: Pages: Article ID 6616056, 06 pages, |
| 2021 | The Conway Gordian Graph (Journal) I. F. Hussain, U. Ali Corresponding author |
Journal: Comptes rendus de lAcademie bulgare des Sciences, Publisher: Bulgarian Academy of Sciences, Vol.: 74, Issue: 6 Pages: 801-811, |
| 2021 | Minimum Partition of an r-Independence System (Journal) Z. Shams, M. Salman, Z. Ullah, U. Ali Corresponding author |
Journal: Journal of Mathematics, Publisher: Hindawi, Vol.: 2021, Issue: Pages: Article ID7163840, 10 pages, |
| 2021 | Sharp Bounds for the Inverse Sum Indeg Index of Graph Operations (Journal) A. Rani, M. Imran, U. Ali Corresponding author |
Journal: Mathematical Problems in Engineering, Publisher: Hindawi, Vol.: 2021, Issue: Pages: Article ID 5561033, 11 pages, |
| 2021 | Hosoya Properties of the Commuting Graph Associated with the Group of Symmetries (Journal ) G. Abbas, A. Rani, M. Salman, T. Noreen, U. Ali Corresponding author |
Journal: Main Group Metal Chemistry, Publisher: De Gruyter, Vol.: 44, Issue: Pages: 173-184, |
| 2021 | Degree-Based Topological Indices of Polysaccharides Amylose and Blue Starch-Iodine Complex (Journal) A. Rani, U. Ali-Corresponding author |
Journal: Journal of Chemistry, Publisher: Hindawi, Vol.: 2021, Issue: Pages: Article ID 6652014, 10 pages, |
| 2021 | Degree-Based Indices of Some Complex Networks, Journal of Mathematics (Journal) Lei Din, S. A. Bokhary, M. Rehman, H. Mubeen, Q. Iqbal, J. Liu, U. Ali |
Journal: Journal of Mathematics, Publisher: Hindawi, Vol.: 2021, Issue: Pages: Article ID 5531357, 16 pages,, |
| 2021 | On Twin Preserving Spanning Subgraph (Journal) K. Wahid, A. Das, A. Rani, S. Amanat, M. Imran, U. Ali-Corresponding author |
Journal: Journal of Intelligent Fuzzy Systems, Publisher: IOS Press, Vol.: 40, Issue: 5 Pages: 9505-9513, |
| 2021 | Properties of Tiny Braids Associated Commuting Graph (Journal) A. Haider, U. Ali-Corresponding author, M. Ansari |
Journal: Journal of Algebraic Combinatorics, Publisher: Springer, Vol.: 53, Issue: Pages: 147-155, |
| 2021 | On Knowledge Discovery and Representation of Molecular Structure Using Topological Indices (Journal) F. E. Alsaadi, S. A. Bokhary, A. Shah, U. Ali, J. Cao, M. O. Alasaafi, M. Rehman |
Journal: Journal of Intelligence and Soft Computing Research , Publisher: De Gruyter, Vol.: 11, Issue: 1 Pages: 21-32, |
| 2020 | Double dominating energy of m-polar fuzzy graphs (Journal) M. Sarwar, M. Akram, U. Ali |
Journal: Journal of Intelligent Fuzzy Systems, Publisher: IOS Press, Vol.: 38, Issue: 2 Pages: 1997-2008, |
| 2020 | Some topological invariants of graphs associated with the group of symmetries (Journal) C. C. Wei, M. Salman, U. Ali-Corresponding author, M. U. Rehman, M. A. Ahmad, M. H. Chaudhary, F. Ahmad |
Journal: Journal of Chemistry, Publisher: Hindawi, Vol.: 2020, Issue: Pages: Article ID 6289518, 13 pages, |
| 2020 | A variant of the knotting number of a knot with applications in the topology of biomolecules (Journal) U. Ali-Corresponding author, M. Saleem, A. M. Qureshi, I. Riaz, M. Shah. W. Gao |
Journal: Europhysics Letters, Publisher: IOP Publishing, Vol.: 131, Issue: Pages: 50004, |
| 2019 | Power graph and exchange property for resolving sets (Journal) G. Abbas, U. Ali, M. Munir, S. A. Bokhary, S. M. Knag |
Journal: Open Mathematics , Publisher: De Gruyter, Vol.: 17, Issue: 01 Pages: 1303-1309, |
| 2019 | On the resolvability of a graph associated to a finite vector space, Journal of Algebra and its Applications (Journal) U. Ali-Corresponding author, S. A. Bokhary, K. Wahid, G. Abbas |
Journal: Journal of Algebra and its Applications, Publisher: World Scientific Publishing, Vol.: 18, Issue: 02 Pages: 1950029, 10 pages, |
| 2019 | On the game chromatic number of splitting graphs of path and cycle (Journal) M. S. Akhtar, U. Ali-Corresponding author, G. Abbas, M. Batool |
Journal: Theoretical Computer Sciences, Publisher: Science Direct, Vol.: 795, Issue: Pages: 50-56, |
| 2019 | Bounds for partition dimension of M-wheel (Journal) Z. Hussain, S. M. Kang, M. Rafique, M. Munir, U. Ali, A. Zahid, M. S. Saleem |
Journal: Open Physics, Publisher: De Gruyter, Vol.: 17, Issue: 01 Pages: 340-344, |
| 2019 | Laplacian energy of dimeter 4 trees (Journal) J. Rehman, U. Ali, M. Rehman |
Journal: Journal of Discrete Mathematical Sciences Cryptography, Publisher: Taylor and Francis, Vol.: 24, Issue: Pages: 119-128 , |
| 2019 | Pseudo-valuations and pseudo-metric on JU-algebra (Journal) U. Ali, M. A. Ansari, M. Masood |
Journal: Open Journal of Mathematical Sciences, Publisher: PSR Press, Vol.: 03, Issue: 01 Pages: 1-11, |
| 2018 | On distinguishing Number of Functigraphs, Symmetry (Journal) M. Fazil, M. Murtaza, M. Z. Ullah, U. Ali, Imran Javaid |
Journal: Symmetry, Publisher: MDPI, Vol.: 10, Issue: 8 Pages: 332, 1-11, |
| 2018 | On the Centralizer of Generators in 3-Braid Group (Journal) U. Ali-Corresponding author, A. Riaz, M. Arshad |
Journal: Mathematical Reports, Publisher: Romanian Academy, Vol.: 20, Issue: Pages: 29-37, |
| 2018 | Irregular total labelling of wheel related graphs (Journal ) S. A. Bokhary, U. Ali, S. Maqbool |
Journal: Utilitas Mathematica, Publisher: Utilitas Mathematica Academy, Vol.: 107, Issue: Pages: 231- 242, |
| 2018 | On some parameters related to fixing sets in graphs (Journal) M. Fazil, U. Ali, I. Javaid, M. Salman |
Journal: Journal of Prime Research in Mathematics, Publisher: ASSMS GCU Lahore, Vol.: 14, Issue: Pages: 1-12, |
| 2018 | The game chromatic number of cartesian and corona products graphs (Journal) S. A. Bokhary, T. Iqbal, U. Ali |
Journal: Journal of Algebra Combinatorics Discrete Structures and Applications, Publisher: IPEAK ACADEMY YAYINCILIK LMTED Turkey, Vol.: 05, Issue: 03 Pages: 129-136, |
| 2018 | On the degree based topological indices of the Tickysim SpiNNaker model (Journal ) M. Imran, M. Kamran Siddiqui, A. Ahmad, U. Ali, N. Hanif |
Journal: Axioms, Publisher: MDPI, Vol.: 07, Issue: 04 Pages: 1-13, |
| 2017 | On Topological Properties of Certain Boron Nanostructures (Journal) U. Ali Corresponding author, A. Q. Baig et. al. |
Journal: Journal of Computational and Theoretical. Nanoscience, Publisher: American Scientific Publishing, Vol.: 14, Issue: Pages: 887-889, |
| 2016 | Locating-Dominating Sets in Hypergraphs (Journal) M. Fazil, I. Javaid, M. Salman, U. Ali |
Journal: Periodica Mathematica Hungarica, Publisher: Springer, Vol.: 72, Issue: Pages: 224-234, |
| 2015 | Relative Garside elements of Artin monoids (Journal) U. Ali, B. Berceanu, Z. Iqbal |
Journal: Romanian Journal of Pure and Applied Mathematics, Publisher: Institute of Mathematics Romanian Academy, Vol.: 60, Issue: Special Issue, 3 Pages: 267-279, |
| 2015 | Canonical Forms of positive Braids (Journal) U. Ali, B. Berceanu |
Journal: Journal of Algebra its Applications, Publisher: World Scientific Publishing, Vol.: 14, Issue: 01 Pages: 1450076, 27 pages , |
| 2015 | Braids with Trivial Simple Centralizer (Journal) U. Ali-Corresponding author, F. Azam, A. Haider, I. Javaid |
Journal: Algebra Colloquium, Publisher: World Scientific Publishing, Vol.: 22, Issue: 04 Pages: 561-566, |
| 2015 | Stability Criteria for volterra indegro-dynamic System (Journal) N. Yasmin, A. Younus, U. Ali, S. Mirza |
Journal: Advances in Mathematical Physics, Publisher: John Wiley and Sons Ltd, Vol.: 2015, Issue: Pages: article ID 365328, 1-11, |
| 2014 | On the metric Demission of Generalized Peterson Graph P n,4 (Journal) S. Naz, M. Salman, U. Ali, I. Javaid, S. A. Bokhary |
Journal: Acta Mathematica Sinica, English Series, Publisher: Springer, Vol.: 30, Issue: 07 Pages: 1145-1160, |
| 2013 | Hilbert series of Artin monoid MI2p (Journal) Z. Iqbal, U. ali |
Journal: Southeast Bulletin of Mathematics, Publisher: Yunnan University China, Vol.: 37, Issue: Pages: 475-480, |
| 2012 | On cycle related graph with constant metric dimension (Journal) M. Ali, G. Ali, U. Al, M. T. Rahim |
Journal: Open Journal of Discrete Mathematics, Publisher: Scientific Research, Vol.: 02, Issue: Pages: 21-23, |
| 2012 | Centralizer of braids and Fibonacci numbers (Journal) U. Ali-Corresponding author, A. Haider |
Journal: Utilitas Mathematica, Publisher: Utilitas Mathematica Academy, Vol.: 89, Issue: Pages: 289-296, |
| 2011 | Canonical Forms and Infimum of Positive braids Algebra (Journal) U. Ali-Corresponding author, Z. Iqbal S. Nazir |
Journal: Algebra Colloquium, Publisher: World Scientific Publishing, Vol.: 18, Issue: Special Issue Pages: 1007-1016, |
| 2010 | Conjugacy Classes of 3-Braid Group (Journal) U. Ali |
Journal: Algebra Colloquium, Publisher: World Scientific Publishing, Vol.: 17, Issue: Special Issue Pages: 829-840, |
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