CLASSIFYING PENTAVALENT SYMMETRIC GRAPHS OF ORDER 24p

被引：0

作者：

Ling, B. ^{[1
]}

机构：

[1] Yunnan Minzu Univ, Sch Math & Comp Sci, Kunming 650504, Yunnan, Peoples R China

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2017年 / 43卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Symmetric graph; normal quotient; automorphism group; S-TRANSITIVE GRAPHS; REGULAR GRAPHS; PRIME; CLASSIFICATION; TWICE; PRODUCT; NUMBER;

D O I：

暂无

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 automorphism group is transitive on its arcs. A complete classification is given of pentavalent symmetric graphs of order 24p for each prime p. It is shown that a connected pentavalent symmetric graph of order 24p exists if and only if p = 2, 3, 5, 11 or 17, and up to isomorphism, there are only eleven such graphs.

引用

页码：1855 / 1866

页数：12

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