Normal edge-transitive and 1/2-arc-transitive semi-Cayley graphs

被引：0

作者：

Ashrafi, A. R. ^{[1
]}

Soleimani, B. ^{[1
]}

机构：

[1] Univ Kashan, Fac Math Sci, Dept Pure Math, Kashan 8731753153, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 03期

关键词：

Normal arc-transitive; normal edge-transitive; semi-Cayley graph; ABELIAN-GROUPS; ISOMORPHISMS; SPECTRUM;

D O I：

10.1080/00927872.2017.1344692

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A graph is said to be a semi-Cayley graph over a group G if it admits G as a semiregular automorphism group with two orbits of equal size. In this paper, definition of normal edge-transitive, arc-transitive and 1/2-arc-transitive semi-Cayley graphs are given. The main properties of such semi-Cayley graphs are shown and a condition for a graph to be a normal edge-transitive, arc-transitive, or 1/2-arc-transitive semi-Cayley will be presented.

引用

页码：1287 / 1299

页数：13

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