Two families of graphs that are Cayley on nonisomorphic groups
DOI:
https://doi.org/10.13069/jacodesmath.867644Keywords:
Cayley graph, Nonisomorphic groupsAbstract
A number of authors have studied the question of when a graph can be represented as a Cayley graph on more than one nonisomorphic group. The work to date has focussed on a few special situations: when the groups are $p$-groups; when the groups have order $pq$; when the Cayley graphs are normal; or when the groups are both abelian. In this paper, we construct two infinite families of graphs, each of which is Cayley on an abelian group and a nonabelian group. These families include the smallest examples of such graphs that had not appeared in other results.
Received: 24 May 2020 | Accepted: 19 October 2020Downloads
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