Abstract
A 2-cell embedding of a graph into a nonorientable closed surface is called regular if its automorphism group acts regularly on its flags (incident vertex-edge-face triples). This paper characterizes automorphism group G of the nonorientable regular embeddings of simple graphs of order \(p^3\), where p is a prime.
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Acknowledgements
The authors thank the referees for their helpful comments and suggestions and thank Miss Yao Tian who checked this manuscript in details. This work is partially supported by the National Natural Science Foundation of China (11671267, 12071312, 11971248).
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Zhu, Y., Du, S. Nonorientable regular embeddings of graphs of order \(p^3\). J Algebr Comb 55, 1251–1264 (2022). https://doi.org/10.1007/s10801-021-01092-0
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DOI: https://doi.org/10.1007/s10801-021-01092-0