Cayley Graph. Let Hbe a nite abelian group. The generators are those returned by the function GroupGenerators.
An arbitrary graph Gis said to be a Cayley graph if there ex-ists a group Band a generating set Xsuch that Gis isomorphic to the Cayley graph for Band X. 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. A minimum generating set for Z 8 would have only.
Dec 21 2020 The Cayley graph for this situation is simple.
1 This is not hard to see. Mar 18 2021 Cayley Graph. 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. A Cayley graph of the discrete Heisenberg group.
