Student Number
27329
Degree
Master of Science in Mathematics
Department
Department of Mathematical Sciences
Faculty/School
School of Mathematics and Computer Science (SMCS)
Date of Award
Fall 2026
Advisor
Dr. Junaid Alam Khan, Associate Professor, Department of Mathematical Sciences
Committee Member 1
Dr. Junaid Alam Khan, Supervisor, Institute of Business Administration (IBA), Karachi
Committee Member 2
Dr. Muhammad Imran Qureshi, Tenured Professor, Department of Mathematics, CUI Vehari Campus
Committee Member 3
Dr. Abdul Majid, Program Director, Institute of Business Administration (IBA), Karachi
Project Type
Research Project
Access Type
Open Access
Pages
vi, 31
Keywords
Weakly zero-divisors, Metric and dominant metric dimensions, Decomposition of the rings, Artinian and local rings etc.Weakly zero-divisors, Metric and dominant metric dimensions, Decomposition of the rings, Artinian and local rings.
Abstract
This thesis investigates the metric dimension and dominant metric dimension of weakly zero-divisor graphs associated with commutative rings. The study focuses on determining resolving sets and dominating resolving sets for several classes of ฮ(Z๐) graphs. These results establish connections between algebraic properties of rings and combinatorial characteristics of their associated graphs.
Recommended Citation
Hussain, A. (2026). Metric and Dominant Metric Dimension of Weakly Zero-Divisor Graphs (Unpublished graduate thesis). Retrieved from https://ir.iba.edu.pk/etd-ms-math/9
