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
From page
1
To page
3
Abstract
For a group G, and a subset S of G such that 1_G € S, let X = Cay(G, S) be the corresponding Cayley graph. Then X is said to be normal edge transitive if N_Aut(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 , Automorphism group
Journal title
Mathematical Sciences
Journal title
Mathematical Sciences
Record number
2569076
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