On enumeration of a class of maps on Klein bottle

2015/09/15 by Dipendu Maity, A. Upadhyay, Maity, Dipendu +1
Computer Science · Mathematics · #05C30 #05C38 #52B70 #Advanced Topology and Set Theory #Combinatorics (math.CO) #Computational Geometry and Mesh Generation #FOS: Mathematics #Geometric Topology (math.GT) #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1509.04519

openalex publication_date 2015/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present enumerations of a class of maps on Klein bottle which give rise to semi-equivelar maps. Semi-equivelar maps are generalizations of equivelar maps. There are eleven types of semi-equivelar maps on the Klein bottle. These are of the types \3⁶\, \4⁴\, \6³\, \3³, 4²\, \3², 4, 3, 4\, \3, 6, 3, 6\, \3⁴, 6\, \4, 8²\, \3, 12²\, \4, 6, 12\, \3, 4, 6, 4\. In this article, we attempt to classify these maps.

Citations

• On enumeration of a class of toroidal graphs

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