TITLE:
Algorithm for Visualization of Zero Divisor Graphs of the Ring ℤn Using MAPLE Coding
AUTHORS:
Nasir Ali
KEYWORDS:
Zero Divisor Graph, Ring Theory, Maple Algorithm, ℤn Modulo n, Graph Theory, Mathematical Computing
JOURNAL NAME:
Open Journal of Discrete Mathematics,
Vol.14 No.1,
January
31,
2024
ABSTRACT: This research investigates the comparative efficacy of generating zero
divisor graphs (ZDGs) of the ring of
integers ℤn modulo n using MAPLE algorithm. Zero divisor graphs, pivotal in
the study of ring theory, depict relationships between elements of a
ring that multiply to zero. The paper explores the development and implementation of algorithms in MAPLE for constructing
these ZDGs. The comparative study aims to discern the strengths, limitations,
and computational efficiency of different MAPLE algorithms for creating zero
divisor graphs offering insights for mathematicians, researchers, and computational enthusiasts involved in ring theory
and mathematical computations.