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ISSN 2063-5346
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Non-Commuting Graphs on Dihedral Groups

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A. John Sekar,S. Pasunkili Pandian
» doi: 10.48047/ecb/2023.12.si4.381

Abstract

Let G be a non-abelian group and Ω ⊂ G. The Non-Commuting graph Γ = (G, Ω), has Ω as its vertex set with two distinct elements of Ω joined by an edge when they do not commute in G. In this article, we investigate among some properties of Non-Commuting graphs and the degree of all vertices in Γ. We also study a necessary and sufficient condition for Γ to be Eulerian.

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