# Cayley Graphs

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A Cayley graph is a pictorial representation of the structure of a group *G* with respect to a generating subset *S*. The vertices of the graph are the elements of *G*. (Mouse over a vertex to see the permutation.) Two vertices *g* and *h* are connected by an edge if there is a generator in *S* that multiplies *g* into *h* or vice versa. Here pairs of permutations {p, q} are used for S to construct polyhedra, symmetric graphs, and so on.

Contributed by: Ed Pegg Jr (March 2011)

Open content licensed under CC BY-NC-SA

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"Cayley Graphs"

http://demonstrations.wolfram.com/CayleyGraphs/

Wolfram Demonstrations Project

Published: March 7 2011