Article ID Journal Published Year Pages File Type
4651990 Electronic Notes in Discrete Mathematics 2014 4 Pages PDF
Abstract

The commuting graph Δ(G) of a group G is the graph whose vertex set is the group and two distinct elements x and y being adjacent if and only if xy=yx. In this paper the automorphism group of this graph is investigated. We observe that Aut(Δ(G)) is a non-abelian group such that its order is not prime power and square-free.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics