The automorphism groups of non-edge-transitive rose window graphs

被引：0

作者：

Dobson, Edward ^{[1
]}

Kovacs, Istvan ^{[2
,3
]}

Miklavic, Stefko ^{[2
,3
]}

机构：

[1] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

[2] Univ Primorska, UP IAM, Koper 6000, Slovenia

[3] Univ Primorska, UP FAMNIT, Koper 6000, Slovenia

来源：

ARS MATHEMATICA CONTEMPORANEA | 2015年 / 9卷 / 01期

关键词：

Rose window graphs; automorphism group; isomorphism problem; vertex-transitive graph; GENERALIZED PETERSEN GRAPHS; I-GRAPHS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will determine the full automorphism groups of rose window graphs that are not edge-transitive. As the full automorphism groups of edge-transitive rose window graphs have been determined, this will complete the problem of calculating the full automorphism group of rose window graphs. As a corollary, we determine which rose window graphs are vertex-transitive. Finally, we determine the isomorphism classes of non-edge-transitive rose window graphs.

引用

页码：63 / 75

页数：13

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