Edward Dobson
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View article: When is Cartesian product a Cayley graph?
When is Cartesian product a Cayley graph? Open
A graph is said to be {\it Cayley} graph if its automorphism group admits a regular subgroup. Automorphisms of the Cartesian product of graphs are well understood, and it is known that Cartesian product of Cayley graphs is a Cayley graph. …
View article: Cayley graphs of more than one abelian group
Cayley graphs of more than one abelian group Open
We show that for certain integers $n$, the problem of whether or not a Cayley digraph $Γ$ of $\mathbb Z_n$ 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 natu…