Summary
Earned D.Sci. in Mathematics in March 2007 from Kyoto University, Japan. Joined NUST in May 2007. Research interests include spectral graph theory and metric graph theory.
Academic Background
PhD
(Mathematics) Kyoto University
April 01, 2003 - March 23, 2007
Honours and Awards
SNS Best Teacher Award
SNS Best Teacher Award for the year 2016
November 21, 2017
Publications
Generalized Sombor index of graphs with given degree sequences: Extremal results and applications
October 15, 2026
Discrete Applied Mathematics - Volume:391, Page:83-100
The Sombor index and harmonic index of chemical trees with a given number of vertices of maximum degree
May 02, 2026
Journal of Discrete Mathematical Sciences and Cryptography - Pages 22
Maximum Non-Self-Centrality Number of Trees With a Fixed Number of Pendant Vertices
April 12, 2026
Discrete Mathematics Letters - Volume: 17, Pages: 15-21
Resolving an open problem: maximizing the total irregularity index of molecular trees with prescribed segments or branching vertices
February 28, 2026
Optimization Letters - Pages 16
On the general vertex-degree-based index of chemical trees with given branching vertices
February 02, 2026
Mathematical Reports - Volume:28, Issue:1-2, Page:79-100
Maximal and Minimal Zagreb Indices of Trees with Fixed Number of Vertices of Maximum Degree
January 01, 2026
Match-Communications in Mathematical and in Computer Chemistry - Volume: 95, Issue: 1Pages: 233–264
A Solution of the Open Problem on Total Irregularity of Trees with Specified Leaves
December 24, 2025
Mathematical Notes - Volume 118, No. 4, Pages 666-679
The General Sombor Index of Extremal Trees with a Given Maximum Degree
May 26, 2025
MATCH-Communications in Mathematical and in Computer Chemistry - Volume 94(3), Pages 825-853
On Elliptic Sombor Index with Applications
May 24, 2025
Bulletin of the Malaysian Mathematical Sciences Society - Volume:48, Issue:4, Article Number 108
On Variable Sum Exdeg Energy Of Graphs
March 01, 2024
Transactions on Combinatorics - Volume: 13, Issue: 1 - Serial Number 1, Pages 85-103
Extremal graphs with respect to the total-eccentricity index
May 04, 2023
Asian-European Journal of Mathematics - Volume:16, Issue:8, Article Number: 2350138
Tree with maximum non-self-centrality number among all trees of fixed order and maximum degree
April 15, 2022
Discrete Applied Mathematics - Volume 311, Pages 26-34
Total eccentricity index of trees with fixed pendent vertices and trees with fixed diameter
January 01, 2022
Japan Journal of Industrial and Applied Mathematics - Volume 39, Pages 443-465
METRIC DIMENSION OF INDU-BALA PRODUCT OF GRAPHS
December 01, 2021
Jordan Journal of Mathematics and Statistics - Volume:14, Issue:4, Page:581-605
Non-self-centrality number of some molecular graphs
May 31, 2021
AIMS Mathematics - Volume 6(8), Pages 8342–8351
On energy ordering of vertex-disjoint bicyclic sidigraphs
August 27, 2020
AIMS Mathematics - Volume 5(6), Pages 6693–6713
Computing bounds for the general sum-connectivity index of some graph operations
July 01, 2020
Algebra and Discrete Mathematics - Volume 29, Number 2, Pages 147-160
Eccentric Adjacency Index of Graphs with a Given Number of Cut Edges
May 01, 2020
Bulletin of the Malaysian Mathematical Sciences Society - Volume 43, Issue 3, Pages 2509–2522
On generalized inverse sum indeg index and energy of graphs
March 04, 2020
AIMS Mathematics - Volume 5(3), Pages 2388–2411
The eccentric adjacency index of unicyclic graphs and trees
January 01, 2020
Asian-European Journal of Mathematics - Volume 13, No. 01, Article Number 2050028
Iota energy of bicyclic signed digraphs
October 01, 2019
Asian-European Journal of Mathematics - Volume: 12, Issue: 5, Article Number: 1950078
Inverse sum indeg energy of graphs
August 09, 2019
IEEE Access - Volume 7, Pages 100860-100866
Bicyclic signed digraphs with maximal energy
April 15, 2019
Applied Mathematics and Computation - Volume: 347, Pages: 702-711
On iota energy of signed digraphs
April 03, 2019
Linear and Multilinear Algebra - Volume 67, Issue 4, Pages 705-724
Metric dimension of fullerene graphs
March 28, 2019
Electronic Journal of Graph Theory and Applications - Volume: 7, Issue: 1, Pages: 91-103
Exact Formulae of General Sum-Connectivity Index for Some Graph Operations
September 01, 2018
Matematicki Vesnik - NULL
On partition dimension of fullerene graphs
July 24, 2018
AIMS Mathematics - NULL
Complex adjacency matrix and energy of digraphs
September 20, 2017
Linear and Multilinear Algebra - NULL
On The Energy of Bicyclic Signed Digraphs
September 07, 2017
Journal of Mathematical Inequalities - Volume 11, Number 3, Pages 845–862
A Note on a Two-Sided Discrete-Concave Market with Possibly Bounded Salaries
September 01, 2017
International Game Theory Review - Vol. 19, No. 3 (2017) 1750017 (21 pages)
Extremal iota energy of bicyclic digraphs
June 15, 2017
Applied Mathematics and Computation - Volume 303, Pages 24-33
On the Atom-bond connectivity and Geometric-Arithmetic indices of SiO2 layer structure
June 01, 2017
Moroccan Journal of Chemistry - NULL
On the Eccentric-Connectivity Index of Some 3-Fence Graphs and Their Line Graphs
June 01, 2017
International Journal of Applied and Computational Mathematics - Volume 3, Issue 2, Pages 1157-1169
Computing Different Versions of Atom-bond Connectivity Index of Dendrimers
February 01, 2017
Journal of Informatics and Mathematical Sciences - Volume: 9 Issue: 1 Pages: 217-229 Published: 2017
Computing topological indices of some hyper-branched macromolecules
December 01, 2016
Journal of Optoelectronics and Advanced Materials - Volume: 18 Issue: 11-12 Pages: 1057-1068
Generalized atom-bond connectivity analysis of several chemical molecular graphs
September 01, 2016
Bulgarian Chemical Communications, - Volume: 48, Issue:3, Pages:543-549, Published: 2016
On the nullity of a family of tripartite graphs
June 20, 2016
Acta Universitatis Sapientiae Informatica - Volume: 8, Issue: 1, Pages: 96-107
Computing some degree-based topological indices of a heterofunctional dendrimer
June 01, 2016
Journal of Optoelectronics and Advanced Materials - Vol. 18, Iss. 5-6, p. 574 - 586
Eccentricity based topological indices of a hetrofunctional dendrimer
November 01, 2015
Journal of Optoelectronics and Advanced Materials - Volume 17, issue 11-12, Pages 1799-1807
On the extremal energy of bicyclic digraphs
July 15, 2015
Journal of Mathematical Inequalities - Volume 9, Issue 3, Pages 799-810
M#-Convexity and Ultramodularity on Integer Lattice
July 01, 2015
Mathematical Inequalities and Applications - Volume: 18 Issue: 3 Pages: 949-958
On some eccentricity based topological indices of nanostar dendrimers
June 01, 2015
Optoelectronics and Advanced Materials-Rapid Communications - Volume 9, Issue 5-6, Pages 842-849
Some conjectures on energy and Estrada index of CNCk[n] nanocones
April 09, 2015
Optoelectronics and Advanced Materials-Rapid Communications - Volume 9, Issue 3-4, Pages 415-418
Computational results on the energy and Estrada index of TUC4C8[m,n] nanotubes
February 01, 2015
Optoelectronics and Advanced Materials-Rapid Communications - Volume: 9 Issue: 1-2 Pages: 311-313
Matching with partially ordered contracts
September 01, 2012
Japan Journal of Industrial and Applied Mathematics - Volume: 29, Issue: 3, Pages: 401-417, Special Issue: SI
Existence of Stable Outcome in a Job Market with Linear Valuations and Possibly Bounded Salaries
September 01, 2011
Pacific Journal of Optimization - Volume: 7, Issue:3, Pages: 531-550
Existence of stable outcome for a job market with linear valuations and possibly bounded salaries
September 01, 2011
Pacific Journal of Optimization - Volume: 7, Issue: 3, Pages: 531-550
Pairwise Stability in a Two-Sided Matching Market with Indivisible Goods and Money
March 01, 2011
Journal of the Operations Research Society of Japan - Volume 54, Issue 1, Pages 1-1
On a Labor Allocation Model with Possibly Bounded Salaries
June 03, 2008
Journal of the Operations Research Society of Japan - Volume: 51 Issue: 2 Pages: 136-154
A Polynomial-time Algorithm for a Stable Matching Problem with Linear Valuations and Bounded Side Payments
February 04, 2008
Japan Journal of Industrial and Applied Mathematics - Volume: 25, Issue: 1, Pages: 83-98
A note on the equivalence between substitutability and M#-convexity
January 02, 2005
Pacific Journal of Optimization - Volume 1, Number 1, Pages 243-252
A new characterization of M^{n}-convex set functions by substitutability
March 01, 2004
Journal of the Operations Research Society of Japan - Volume: 47, Issue: 1, Pages: 18-24
A note on finite metabelian groups of wielandt length two
March 01, 2001
Southeast Asian Bulletin of Mathematics - Volume 25, Pages 187-190