We enumerate the labelled and unlabelled d-regular maps on two-dimensional oriented surfaces of arbitrary genus g. The case of d-regular maps with a single face is considered separately in more detail.
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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 450, 2016, pp. 74–108.
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Krasko, E.S., Omelchenko, A.V. Enumeration of Regular Maps on Surfaces of a Given Genus. J Math Sci 232, 44–60 (2018). https://doi.org/10.1007/s10958-018-3858-1
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DOI: https://doi.org/10.1007/s10958-018-3858-1