Structural Properties and Laplacian Spectrum of Equal-Square Graph of Finite Groups.

Autor: Rana, Pankaj, Aggarwal, Shilpa, Sehgal, Amit, Bhatia, Pooja
Předmět:
Zdroj: Palestine Journal of Mathematics; 2024 Special Issue, Vol. 13, p154-161, 8p
Abstrakt: Equal-square graph of finite group G is a simple finite undirected graph with vertex set G, in which two distinct vertices a, b are adjacent if and only if a² = b². In this research paper we have studied various structural properties such as connectivity, vertex degree, girth, clique number, independent number, chromatic number and matching number of Equal-square graph of finite groups. We have also calculated Laplacian polynomial and domination number of Equal-square graph of various finite groups. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index