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- W2897524401 abstract "The second part of the paper is devoted to enumeration of r-regular maps on the torus up to all its homeomorphisms (unsensed maps). We describe in detail the periodic orientation reversing homeomorphisms of the torus which turn out to be representable as glide reflections. We show that considering quotients of the torus with respect to these homeomorphisms leads to maps on the Klein bottle, the annulus and the Möbius band. Using 3- and 4-regular maps as an example we describe the technique of enumerating quotient maps on surfaces with a boundary. Obtained recurrence relations are used to enumerate unsensed r-regular maps on the torus for various r." @default.
- W2897524401 created "2018-10-26" @default.
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- W2897524401 date "2019-02-01" @default.
- W2897524401 modified "2023-09-30" @default.
- W2897524401 title "Enumeration of <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll id=d1e461 altimg=si406.gif><mml:mi>r</mml:mi></mml:math>-regular maps on the torus. Part II: Unsensed maps" @default.
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- W2897524401 doi "https://doi.org/10.1016/j.disc.2018.09.004" @default.
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