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2-semi-equivelar maps on the torus and Klein bottle with few vertices

2022/06/13 by Tiwari, Anand Kumar, Singh, Yogendra, Tripathi, Amit
#52B70 #52C20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2206.06148

Abstract

The k-semi equivelar maps, for k ≥ 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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