文献类型：期刊文献

英文题名：A note on non-existence of cubic semisymmetric graphs of order 8p or 8p(2)

作者：Li, Yantao[1];Cheng, Huiwen[2];Ma, Qinghua[1]

第一作者：李艳涛

通讯作者：Li, YT[1]

机构：[1]Beijing Union Univ, Coll Appl Arts & Sci, Beijing 100091, Peoples R China;[2]Beijing Haidian Adults Univ, Dept Math, Beijing 100083, Peoples R China

第一机构：北京联合大学应用文理学院

通讯机构：[1]corresponding author), Beijing Union Univ, Coll Appl Arts & Sci, Beijing 100091, Peoples R China.|[114172]北京联合大学应用文理学院;[11417]北京联合大学;

年份：2017

卷号：133

起止页码：377-383

外文期刊名：ARS COMBINATORIA

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000404082800028)】；

基金：This work was supported by the National Natural Science Foundation of China (11101035,11661031), and the scientific research project of Beijing Union University (zk201001x).

语种：英文

外文关键词：Edge-transitive graph; semisymmetric graph; vertex-transitive graph

摘要：The aim of this note is to present a short proof of a result of Alaeiyan et al. [Bull. Austral. Math. Soc. 77 (2008) 315-323; Proc. Indian Acad. Sci., Math. Sci. 119 (2009) 647-653] concerning the non-existence of cubic semisymmetric graphs of order 8p or 8p(2), where p is a prime. In those two papers the authors choose the heavy weaponry of covering techniques. Our proof relies on the analysis of the subgroup structure of the full automorphism group of the graph and the normal quotient graph theory.