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
收藏
页码：1287 / 1299
页数：13
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