Dave Witte Morris

collaborators

2 papers

math.CO2026

Composing group automorphisms with colour-preserving automorphisms of Cayley graphs

Dave Witte Morris

We show that if $φ$ is a colour-permuting automorphism of a connected, finite Cayley graph, and the order of the Cayley graph is either odd or square-free, then $φ$ is the composit…

math.CO2026

Isomorphisms of abelian Cayley graphs with their natural edge-colouring

Shirin Alimirzaei, Dave Witte Morris

We prove that if $φ$ is an isomorphism between two connected Cayley graphs of abelian groups, and $φ$ respects the natural edge-colourings of the Cayley graphs, then $φ$ is the com…