English

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

Combinatorics 2022-06-14 v1

Abstract

The kk-semi equivelar maps, for k2k \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.

Keywords

Cite

@article{arxiv.2206.06148,
  title  = {2-semi-equivelar maps on the torus and Klein bottle with few vertices},
  author = {Anand Kumar Tiwari and Yogendra Singh and Amit Tripathi},
  journal= {arXiv preprint arXiv:2206.06148},
  year   = {2022}
}