On the orientably-regular embeddings of graphs of order prime-cube

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• 作者：Yanhong Zhu ; Wenqin Xu ; Shaofei Du ; ^{dushf@mail.cnu.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Xuesong Ma
• 关键词：Regular map ; Vertex transitive graph ; Permutation group ; pp-group
• 刊名：Discrete Mathematics
• 出版年：2016
• 出版时间：6 March 2016
• 年：2016
• 卷：339
• 期：3
• 页码：1140-1146
• 全文大小：375 K

文摘

This paper characterizes the automorphism group G$G$ of the orientably-regular embeddings of simple graphs of order prime-cube p³$p^3$. Our main result will be a starting point for classifying all such embeddings. Moreover, by using some known results, a partial classification is given, when G$G$ contains a Sylow p$p$-subgroup of order p⁵$p^5$.