The Commuting Graphs on Groups D2n and Qn


Authors

J. Vahidi - Shomal University, Amol, Iran A. Asghar Talebi - University of mazandaran, babolsar, Iran


Abstract

Given group \(G\), the commuting graph of \(G\), is defined as the graph with vertex set \(G-Z(G)\), and two distinct vertices \(x\) and \(y\) are connected by an edge, whenever they commute, that is \(xy=yx\). In this paper we get some parameters of graph theory, as independent number and clique number for groups \(D_{2n},Q_n\).


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