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Enumeration of Regular Maps on Surfaces of a Given Genus

Combinatorics 2016-08-17 v1

Abstract

In the present work the rooted and unrooted d-regular maps on 2-dimentional oriented surfaces of genus g are enumerated. Separately and in more detail the case of d-regular maps with a single face are considered.

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Cite

@article{arxiv.1608.04704,
  title  = {Enumeration of Regular Maps on Surfaces of a Given Genus},
  author = {E. S. Krasko and A. V. Omelchenko},
  journal= {arXiv preprint arXiv:1608.04704},
  year   = {2016}
}

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