Title of article :
Non-normal edge-transitive directed Cayley graphs of abelian groups
Author/Authors :
Alaeiyan, Mehdi iran university of science and technology - Department of Mathematics, تهران, ايران , Mirzajani, Javad iran university of science and technology - Department of Mathematics, تهران, ايران
Abstract :
For a group G, and a subset S of G such that 1G( notin) S, let X = Cay(G, S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if NAut(X)(G) is transitive on edges. In this paper, we determine all connected directed Cayley graphs of finite abelian groups with valency at most 3 which are normal edge transitive but not normal.
Keywords :
Cayley graph , Vertex transitive , Edge transitive , Normal edge transitive , Normal graph , Automorphismgroup
Journal title :
Mathematical Sciences
Journal title :
Mathematical Sciences
