Summary
I received the master’s degree in Mathematics from University of Peshawar, Peshawar, and PhD from ASSMS, GCU, Lahore. My area of research is Combinatorial Commutative Algebra and Graph Theory
Academic Background
PhD
(Commutative Algebra) Government College University Lahore
September 25, 2007 - February 17, 2012
Honours and Awards
School's Best Researcher Award for year 2018.
December 24, 2019
Best Researcher Award in field of Algebra for the year 2011, awarded by ASSMS, GCU, Lahore Pakistan.
March 14, 2011
Received the Best Young Speaker award in an International Conference at ASSMS, GCU, Lahore in 2011.
January 10, 2011
Publications
Elliptic-Möbius S-Boxes: A Hybrid Algebraic Construction for Cryptographic Applications
March 01, 2026
Alexandria Engineering Journal - Volume 140, Pages 124-136
Algebraic Invariants of Edge Ideals from Strong Products of Paths and Cycles
December 16, 2025
AIMS Mathematics - Volume 10, Issue 12: 29650-29663
An optimal and efficient framework for the construction of nonlinear components based on a polynomial ring
November 01, 2025
Mathematics and Computers in Simulation - Volume: 237, Pages 263-280
Algebraic invariants of edge ideals of some bristled circulant graphs
May 19, 2025
AIMS Mathematics - Volume 10, Issue 5, Pages 11330-11348
Algebraic invariants of the edge ideals of whisker graphs of cubic circulant graphs
January 30, 2025
Heliyon - Volume: 11, Issue 2, Article Number: e41783
Mathematical modeling of irregularity indices for adriamycin and their statistical analysis for emetic drugs
June 01, 2024
Ain Shams Engineering Journal - Volume 15, Issue 6, Article Number:102721
Regularity of the edge ideals of perfect [𝜈,ℎ]-ary trees and some unicyclic graphs
May 30, 2024
Heliyon - Volume: 10, Issue: 10, Article Number: e30689
Mathematically modeling of Ge-Sb-Te superlattice to estimate the physico-chemical characteristics
April 01, 2024
Ain Shams Engineering Journal - Volume 15, Issue 4, Article Number 102617
Algebraic invariants of edge ideals of some circulant graphs
December 04, 2023
AIMS Mathematics - Volume 9, Issue 1, Pages 868-895
Depth and Stanley Depth of the Edge Ideals of r-Fold Bristled Graphs of Some Graphs
November 14, 2023
Mathematics - Volume 11, Issue 22, Article Number 4646
Estimation of the physiochemical characteristics of an antibiotic drug using M-polynomial indices
November 01, 2023
Ain Shams Engineering Journal - Volume 14, Issue 11, Article Number 102539
Depth and Stanley depth of powers of the edge ideals of some caterpillar and lobster trees
August 16, 2023
Mathematical Reports - Volume 25-75, Issue 2, Pages 199-220
Some algebraic Invariants of the residue class rings of the edge ideals of perfect semiregular trees
June 01, 2023
Communications in Algebra - Volume 51, Issue 6, Pages 2364-2383
Some algebraic invariants of the edge ideals of perfect [h, d]-ary trees and some unicyclic graphs
March 07, 2023
AIMS Mathematics - Volume 8, Issue 5, Pages:10947-10977
On Computations of Topological Descriptors of Kagome Lattice
September 01, 2022
Polycyclic Aromatic Compounds - Volume 42, Issue 8, Pages 4895-4909
Depth and Stanley depth of the edge ideals of multi triangular snake and multi triangular ouroboros snake graphs
July 07, 2022
AIMS Mathematics - Volume 7, Issue 9, Pages 16449-16463
Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs
June 20, 2022
Turkish Journal of Mathematics - Volume 46, Issue 5, Pages 1886-1896
Values and bounds for depth and Stanley depth of some classes of edge ideals
June 07, 2021
AIMS Mathematics - Volume 6(8), Pages 8544-8566
A New Approach for Forecasting Crude Oil Prices Using Median Ensemble Empirical Mode Decomposition and Group Method of Data Handling
May 31, 2021
Mathematical Problems in Engineering - Volume 2021, Article ID 5589717, 12 pages
Depth and Stanley depth of the edge ideals of the strong product of some graphs
February 04, 2021
Hacettepe Journal of Mathematics and Statistics - Volume 50 (1), Pages 92-109
Irregularity Measures of Subdivision Vertex-Edge Join of Graphs
January 18, 2021
Journal of Chemistry - Volume 2021, Article ID 6673221, 12 pages
Topological descriptors of poly propyl ether imine (Petim) dendrimers
January 01, 2021
Biointerface Research in Applied Chemistry - Volume 11, Issue 3, Pages 10968-10978
Computing entire Zagreb indices of some dendrimer structures
December 31, 2020
Main Group Metal Chemistry - 43: 229–236
A New Approach for Reconstruction of IMFs of Decomposition and Ensemble Model for Forecasting Crude Oil Prices
October 06, 2020
Mathematical Problems in Engineering - Volume 2020, Article ID 1325071, 23 pages
The measure of irregularities of nanosheets
August 03, 2020
Open Physics - Volume 18(1), Pages 419-431
Recognition of Contact Map Germs from the Plane to the Plane by Invariants
June 15, 2020
Comptes Rendus de L'Academie Bulgare des Sciences - Volume 73(6), Pages 758-766
On irregularity descriptors of derived graphs
April 28, 2020
AIMS Mathematics - Volume 5(5), Pages 4085-4107
The Edge Versions of Degree-Based Topological Descriptors of Dendrimers
March 01, 2020
Journal of Cluster Science - Volume 31, Pages 445-452
Depth and Stanley depth of the edge ideals of the powers of paths and cycles
December 21, 2019
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica - Volume: 27, Issue: 3, Pages: 113-135
Characteristic study of irregularity measures of some nanotubes
October 01, 2019
Canadian Journal of Physics - Volume: 97 Issue: 10 Pages: 1125-1132
Comparison of Irregularity Indices of Several Dendrimers Structures
September 27, 2019
Processes - Vol:7(10), Article No.662
Depth and Stanley depth of edge ideals associated to some line graphs
June 19, 2019
AIMS Mathematics - Vol.4(3), Pages 686–698
Topological Aspects of Dendrimers via Distance Based Descriptors
April 02, 2019
IEEE ACCESS - Volume 7, Pages 35619-35630
On Irregularity Measures of Some Dendrimers Structures
March 16, 2019
Mthematics - Volume 7, Issue 3, Article Number 271
Bounds on Topological Descriptors of the Corona Product of F-Sum of Connected Graphs
March 12, 2019
IEEE ACCESS - Volume 7, Pages 26788-26796
On eccentricity-based topological descriptors of water-soluble dendrimers
January 10, 2019
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION C-A JOURNAL OF BIOSCIENCES - Volume: 74, Issue: 1-2, Pages: 25-33
Improving forecasting accuracy of crude oil price using decomposition ensemble model with reconstruction of IMFs based on ARIMA model
December 03, 2018
Malaysian Journal of Fundamental and Applied Sciences - Volume: 14, Issue: 4, Pages: 471-483
On Theoretical Study of Zagreb Indices and Zagreb Polynomials of Water-Soluble PerylenediimideCored Dendrimers
December 03, 2018
Journal of Informatics and Mathematical Sciences - Volume 10, Issue 4, Pages 647–657
Improvement on Estimating Median for Finite Population using Auxiliary Variables in Double-Sampling
September 01, 2018
Jurnal Teknologi - Volume: 80, Issue: 5, Pages: 135-143, Published: Sep 2018
On Eccentricity-Based Topological Indices Study of a Class of Porphyrin-Cored Dendrimers
September 01, 2018
Biomolecules - Volume: 8 Issue: 3, Article Number: 71, Published: Sep 2018
On Eccentricity-Based Topological Descriptors of Dendrimers
August 01, 2018
Iranian Journal of Science and Technology Transaction A-Science - pp 1–11
Crude Oil Price Forecasting by Ceemdan based Hybrid Model of Arima and Kalman Filter
July 01, 2018
Jurnal Teknologi - Volume:80, Issue 4, Pages 67-79
On Eccentricity-Based Topological Indices and Polynomials of Phosphorus-Containing Dendrimers
July 01, 2018
Symmetry - NULL
Depth and Stanley depth of the edge ideals of square paths and square cycles
June 18, 2018
Communications in Algebra - Volume 46, No. 3, Pages 1188–1198
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
Median Estimation In Simple Random Sampling By Using Two Auxiliary Variables
July 12, 2016
Abasyn Journal of Social Sciences - Pages 376-390
Lexsegment ideals are sequentially Cohen-Macaulay
December 15, 2014
Algebra Colloquium - Volume: 21, Issue: 4, Pages: 551-560
Monomial Ideals of Minimal Depth
November 12, 2013
Analele Stiintifice ale Universitatii Ovidius Constanta-Seria Matematica - Volume 21, Issue 3, Pages 147-154
Upper and Lower Bounds for the Stanley Depth of Certain Classes of Monomial Ideals and Their Residue Class Rings
March 06, 2013
Communications in Algebra - Volume: 41, Issue: 3, Pages: 1107-1116
Stanley depth of edge ideals
December 01, 2012
Studia Scientiarum Mathematicarum Hungarica - Volume: 49, Issue: 4, Pages: 501-508
Upper Bounds for the Stanley Depth
January 12, 2012
Communications in Algebra - Volume: 40, Issue: 1, Pages: 87-97
Values and bounds for the Stanley depth
September 15, 2011
Carpathian Journal of Mathematics - Volume: 27, Issue: 2, Pages: 217-224