4p阶11度对称图

蓝婷凌波*

School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming 650504, China

摘要： 本文给出$4p$阶$11$度对称图的完全分类, 其中$p$是一个素数. 根据分类结果得出$4p$阶$11$度对称图只有一个, 且该图是完全图$K_{12}$.

关键词: 对称图 , 自同构群 , $s$-弧传递图

Abstract:

In this paper, a complete classification of 11-valent symmetric graphs of $4p$ order is given, where $p$ is a prime.

According to the results of the classification, there is only one the 11-valent graph of order $4p$, which is a complete graph $K_{12}$.

Key words: Symmetric graph , Automorphism group , $s$-arc-transitive

蓝婷凌波 . 4p阶11度对称图[J]. 数学理论与应用, 2021, 41(2): 76-.

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