Pentavalent symmetric graphs of order 8 p2

被引：0

作者：

Lou, Ben Gong ^{[1
]}

Wang, Shi Xin ^{[1
]}

机构：

[1] Yunnan Univ, Sch Math & Stat, Kunming 650500, Peoples R China

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2023年 / 54卷 / 01期

关键词：

Arc-transitive graph; Normal quotient; Automorphism group; CLASSIFICATION; PRODUCT; TWICE;

D O I：

10.1007/s13226-022-00248-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A graph is said to be symmetric if its full automorphism group is transitive on its arcs. In this paper, a complete classification of pentavalent symmetric graphs of order 8p(2) is given for each prime p. It is shown that a connected pentavalent symmetric graph of order 8p(2) exists if and only if p = 2 or 3, and there are four such graphs up to isomorphism.

引用

页码：253 / 258

页数：6

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