Normal edge-transitive Cayley graphs on a class of non-abelian groups  

作　　者：Nuo LI Qi DENG Hua ZHANG 

机构地区：[1]School of Mathematics,Yunnan Normal University,Kunming 650500,China [2]College of Arts and Sciences Kunming,Kunming 650221,China

出　　处：《Frontiers of Mathematics in China》2024年第4期215-227,共13页中国高等学校学术文摘·数学（英文）

摘　　要：Let Г=Cay(G,S)be the Cayley graph of a group G with respect to its subset S.The graph is said to be normal edge-transitive if the normalizer of G in the automorphism group Aut(T)of F acts transitively on the edge set of ГIn this paper,we study the structure of normal edge-transitive Cayley graphs on a class of non-abelian groups with order 2p^(2)(p refers to an odd prime).The structure and automorphism groups of the non-abelian groups are first presented,and then the tetravalent normal edge-transitive Cayley graphs on such groups are investigated.Finally,the normal edge-transitive Cayley graphs on group G are characterized and classified.

关 键 词：Cayley graph symmetric graph normal edge-transitivity 

分 类 号：O157.5[理学—数学]