Abstract
We consider latin square graphs $$\varGamma = \text {LSG}(H)$$ of the Cayley table of a given finite group H. We characterize all pairs $$(\varGamma ,G)$$ , where G is a subgroup of autoparatopisms of the Cayley table of H such that G acts arc-transitively on $$\varGamma $$ and all nontrivial G-normal quotient graphs of $$\varGamma $$ are complete. We show that H must be elementary abelian and determine the number k of complete normal quotients. This yields new infinite families of diameter two arc-transitive graphs with $$k = 1$$ or $$k = 2$$ .
Full Text
Submitted Version (
Free)
Published Version
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call