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Möbius Regular Maps of Order pq

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Abstract

Möbius regular maps are surface embeddings of graphs with doubled edges such that (i) the automorphism group of the embedding acts regularly on flags and (ii) each doubled edge is a center of a Möbius band on the surface. In this paper, we classify Möbius regular maps of order pq for any two primes p and q, where p ≠ q.

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Acknowledgements

The authors thank the referees for the helpful comments and suggestions.

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Authors and Affiliations

  1. School of Information, Beijing Wuzi University, Beijing, 101149, P. R. China

    Fu Rong Wang

  2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, P. R. China

    Shao Fei Du

Authors
  1. Fu Rong Wang
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  2. Shao Fei Du
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Corresponding authors

Correspondence to Fu Rong Wang or Shao Fei Du.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 11671276 and 11371259)

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Wang, F.R., Du, S.F. Möbius Regular Maps of Order pq. Acta. Math. Sin.-English Ser. 35, 690–702 (2019). https://doi.org/10.1007/s10114-018-5744-7

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  • DOI: https://doi.org/10.1007/s10114-018-5744-7

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