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
收藏
页码：1855 / 1866
页数：12
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