PENTAVALENT SYMMETRIC GRAPHS OF ORDER 30p

被引：17

作者：

Ling, Bo ^{[1
]}

Wu, Ci Xuan ^{[1
]}

Lou, Ben Gong ^{[1
]}

机构：

[1] Yunnan Univ, Sch Math & Stat, Kunming 650031, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2014年 / 90卷 / 03期

关键词：

arc-transitive graph; pentavalent symmetric graph; automorphism group;

D O I：

10.1017/S0004972714000616

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A complete classification is given of pentavalent symmetric graphs of order 30p, where p >= 5 is a prime. It is proved that such a graph Gamma exists if and only if p = 13 and, up to isomorphism, there is only one such graph. Furthermore, Gamma is isomorphic to C-390, a coset graph of PSL(2, 25) with Aut Gamma = PSL( 2, 25), and Gamma is 2-regular. The classification involves a new 2-regular pentavalent graph construction with square-free order.

引用

页码：353 / 362

页数：10

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