Geodesic
A note on commuting graphs for symmetric groups
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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The commuting graph ${\cal C}(G,X)$, where $G$ is a group and $X$ a subset of $G$, has $X$ as its vertex set with two distinct elements of $X$ joined by an edge when they commute in $G$. Here the diameter and disc structure of ${\cal C}(G,X)$ is investigated when $G$ is the symmetric group and $X$ a conjugacy class of $G$.
DOI : 10.37236/95
Classification : 05C25, 05C12, 20B30
Mots-clés : commuting graph, diameter, disc structure, symmetric group, conjugacy class 
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     author = {C. Bates and D. Bundy and S. Hart and P. Rowley},
     title = {A note on commuting graphs for symmetric groups},
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C. Bates; D. Bundy; S. Hart; P. Rowley. A note on commuting graphs for symmetric groups. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/95

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