Harmonic Morphisms of Graphs
and the RiemannHurwitz Theorem

A. D. Mednykh^a and R. Nedela^b

Presented by Academician Yu.G. Reshetnyak June 10, 2015

Received June 26, 2015

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.

DOI: 10.1134/S1064562416010105

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