Semi - Equivelar Maps on the Torus and the Klein Bottle with few vertices
Geometric Topology
2015-09-25 v1 Algebraic Topology
Combinatorics
Abstract
Semi-Equivelar maps are generalizations of maps on the surfaces of Archimedean solids to surfaces other than the -sphere. The well known 11 types of normal tilings of the plane suggest the possible types of semi-equivelar maps on the torus and the Klein bottle. In this article we classify (up to isomorphism) semi-equivelar maps on the torus and the Klein bottle with few vertices.
Keywords
Cite
@article{arxiv.1509.07325,
title = {Semi - Equivelar Maps on the Torus and the Klein Bottle with few vertices},
author = {Anand Kumar Tiwari and Ashish K. Upadhyay},
journal= {arXiv preprint arXiv:1509.07325},
year = {2015}
}
Comments
13 pages, To appear in Math Slovaca