Elsevier

Discrete Mathematics

Volume 339, Issue 3, 6 March 2016, Pages 1140-1146
Discrete Mathematics

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

https://doi.org/10.1016/j.disc.2015.10.039Get rights and content
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Abstract

This paper characterizes the automorphism group G of the orientably-regular embeddings of simple graphs of order prime-cube p3. 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 contains a Sylow p-subgroup of order p5.

Keywords

Regular map
Vertex transitive graph
Permutation group
p-group

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