阶为8p2的7度对称图
On Symmetric Graphs of Order Eight Times a Prime Square and Valency Seven
DOI: 10.12677/PM.2020.109093, PDF,    国家自然科学基金支持
作者: 王 蒙, 杨婷婷：云南财经大学统计与数学学院，云南 昆明
关键词: 对称图；自同构群；单群；Symmetric Graph； Automorphism Group； Simple Group
摘要: 在本文中，研究了8p2阶的7度对称图，其中p为一个奇素数。证明了自同构群在图的顶点集上拟本原时，存在两个图。当自同构群在图的顶点集上二部拟本原时，不存在图。
Abstract: In this paper, we study symmetric graphs of valency seven and order 8p2, where p is an odd prime. It is proved that there are two graphs if the automorphism group of those graphs which is quasiprimitive on its vertices set, while it is no graphs exists in the case of the automorphism group is biquasiprimitive on the vertex set.
文章引用：王蒙, 杨婷婷. 阶为8p2的7度对称图[J]. 理论数学, 2020, 10(9): 811-820. https://doi.org/10.12677/PM.2020.109093

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