# On commuting graphs for elements of order 3 in symmetric groups

Nawawi, Athirah and Rowley, Peter (2012) On commuting graphs for elements of order 3 in symmetric groups. The Electronic Journal of Combinatorics. (Submitted)

The commuting graph $\mathcal{C}(G,X)$, where $G$ is a group and $X$ is a subset of $G$, is the graph with vertex set $X$ and distinct vertices being joined by an edge whenever they commute. Here the diameter of $\mathcal{C}(G,X)$ is studied when $G$ is a symmetric group and $X$ a conjugacy class of elements of order $3$.