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.
