Speaker
Prof.
Ted Dobson
(Mississippi State University and University of Primorska)
Description
We show that for certain integers $n$, the problem of whether or not a circulant digraph $\Gamma$ of order $n$ is also isomorphic to a Cayley digraph of some other abelian group $G$ of order $n$ reduces to the question of whether or not a natural subgroup of the full automorphism group contains more than one regular abelian group up to isomorphism (as opposed to the full automorphism group). A necessary and sufficient condition is then given for such circulants to be isomorphic to Cayley digraphs of more than one abelian group. A generalization of a permutation group theoretic result of Muzychuk is one of the main tools. This is joint work with Joy Morris.
Author
Prof.
Ted Dobson
(Mississippi State University and University of Primorska)
