8p阶13度对称图  

13-valent symmetric graphs of order 8p

作　　者：蒋威 娄本功[1] JIANG Wei;LOU Ben-gong(School of Mathematics and Statistics,Yunnan University,Kunming 650500,Yunan,China)

机构地区：[1]云南大学数学与统计学院,云南昆明650500

出　　处：《西北师范大学学报(自然科学版)》2025年第2期45-51,共7页Journal of Northwest Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(12461068)。

摘　　要：一个图称为对称的,如果图的自同构群作用在图的弧集上是传递的.利用单群的分类,给出了8p阶13度对称图的完全分类,证明了8p阶13度对称图存在当且仅当素数p=7,该图在同构意义下只有两个,分别为K414或C156.A graph is called symmetric if its automorphism group acts tansitively on its arc set.A complete classification of valent thirteen symmetric graphs of order 8p is given.It is proved that the 13-valent symmetric graphs of order 8p exists if and only if that the prime p is seven,and it exists only two such graphs under isomorphism,which is either C 414 or C 156.

关 键 词：对称图 自同构群 s-弧传递图 正规覆盖 

分 类 号：O152[理学—数学] O157.5[理学—基础数学]