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2-semi-equivelar maps on the torus and Klein bottle with few vertices
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classification
math.CO
keywords
mapsequivelarsemisurfacesbottlekleintorusvertices
abstract
The $k$-semi equivelar maps, for $k \geq 2$, are generalizations of maps on the surfaces of Johnson solids to closed surfaces other than the 2-sphere. In the present study, we determine 2-semi equivelar maps of curvature 0 exhaustively on the torus and the Klein bottle. Furthermore, we classify (up to isomorphism) all these 2-semi equivelar maps on the surfaces with up to 12 vertices.
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