On Commuting Graphs of Generalized Dihedral Groups
Vipul Kakkar, Gopal Singh Rawat

TL;DR
This paper investigates the properties of commuting graphs associated with generalized dihedral groups, providing insights into their structure and characteristics within group theory.
Contribution
It offers new analysis of the commuting graphs of generalized dihedral groups, expanding understanding of their structural properties.
Findings
Characterization of commuting graph connectivity
Identification of conditions for graph regularity
Insights into graph symmetry and automorphisms
Abstract
For a group and a subset of , the commuting graph of , denoted by is the graph whose vertex set is and any two vertices and in are adjacent if and only if they commute in . In this article, certain properties of the commuting graph of generalized dihedral groups have been studied.
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