Semisymmetric Cubic Graphs of Order 16𝑝2

Proceedings Mathematical Sciences

B N Onagh¹  Hamid A Tavallaee¹  Mehdi Alaeiyan² 

[1] $$;Department of Mathematics, Iran University of Science and Technology, Narmak, Tehran , Iran$$

关键词: Automorphism group;    regular cover;    vertex-transitive graph;    edge-transitive graph;    semisymmetric graph.;   

DOI  :  

学科分类：数学（综合）

来源: Indian Academy of Sciences

【 摘 要 】

An undirected graph without isolated vertices is said to be semisymmetric if its full automorphism group acts transitively on its edge set but not on its vertex set. In this paper, we inquire the existence of connected semisymmetric cubic graphs of order 16𝑝2. It is shown that for every odd prime 𝑝, there exists a semisymmetric cubic graph of order 16𝑝2 and its structure is explicitly specified by giving the corresponding voltage rules generating the covering projections.

【 授权许可】

Unknown