On tetravalent normal edge-transitive Cayley graphs on the modular group

被引：3

作者：

Sharifii, Hesam ^{[1
]}

Darafsheh, Mohammad Reza ^{[2
]}

机构：

[1] Shahed Univ, Dept Math, Fac Sci, Tehran, Iran

[2] Univ Tehran, Sch Math Stat & Comp Sci, Coll Sci, Tehran, Iran

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 05期

关键词：

Cayley graph; edge-transitive; modular group; ABELIAN-GROUPS; ORDER; DIGRAPHS;

D O I：

10.3906/mat-1604-109

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A Cayley graph Gamma = Cay (G; S) on a group G with respective to a subset S subset of G, S = S-1; 1 is not an element of S, is said to be normal edge-transitive if N-Aut ((Gamma)) (rho (G)) is transitive on edges of Gamma, where rho(G) is a subgroup of Aut (Gamma) isomorphic to G. We determine all connected tetravalent normal edge-transitive Cayley graphs on the modular group of order 8n in the case that every element of S is of order 4n.

引用

页码：1308 / 1312

页数：5

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