Center for Advanced Studies in Pure and Applied Mathematics

Prof. Usman Ali


Prof. Usman Ali

Professor, Center for Advanced Studies in Pure and Applied Mathematics
https://profiles.bzu.edu.pk/usmanali

Profile
Prof. Usman Ali

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, 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, 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,
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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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

Disclaimer: The information provided on this page is maintained by the faculty/staff members themselves or their representatives, through their personal accounts on the BZU Website.