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Harmonic morphisms of graphs and the Riemann–Hurwitz theorem

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Abstract

Several versions of the Riemann–Hurwitz theorem for branched coverings of graphs are presented. A larger class of graphs which may have not only multiple edges but also loops and darts is considered. This makes it possible to render the class of graphs closed with respect to morphisms arising as quotient maps for actions of finite groups.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, pr. Akademika Koptyuga 4, Novosibirsk, 630090, Russia

    A. D. Mednykh

  2. Faculty of Natural Sciences, Matej Bel University, Tajovskeho 40, Banská Bystrica, 974 01, Slovakia

    R. Nedela

Authors
  1. A. D. Mednykh
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  2. R. Nedela
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Corresponding author

Correspondence to A. D. Mednykh.

Additional information

Original Russian Text © A.D. Mednykh, R. Nedela, 2016, published in Doklady Akademii Nauk, 2016, Vol. 466, No. 2, pp. 144–147.

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Mednykh, A.D., Nedela, R. Harmonic morphisms of graphs and the Riemann–Hurwitz theorem. Dokl. Math. 93, 23–26 (2016). https://doi.org/10.1134/S1064562416010105

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  • DOI: https://doi.org/10.1134/S1064562416010105

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