Shirin Alimirzaei

collaborators

2 papers

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…

math.CO2024

Colour-permuting automorphisms of complete Cayley graphs

Shirin Alimirzaei, Dave Witte Morris

Let $G$ be a (finite or infinite) group, and let $K_{G} = Cay (G; G ∖ {1})$ be the complete graph with vertex set $G$ , considered as a Cayley graph of $G$ . Bei…