Semi-equivelar maps on the surface of Euler characteristic -1
Geometric Topology
2013-10-22 v1 Algebraic Topology
Combinatorics
Abstract
Semi-Equivelar maps are generalizations of Archimedean solids to the surfaces other than 2-sphere. In earlier work a complete classification of semi-equivelar map of type on the surface of Euler characteristic -1 was given. In the meantime Karabas an Nedela classified vertex transitive semi-equivelar maps on the double torus. In this article we study the types of semi-equivelar maps on double torus that are also available on the surface of Euler characteristic -1. We classify them and show that none of them are vertex transitive.
Cite
@article{arxiv.1310.5219,
title = {Semi-equivelar maps on the surface of Euler characteristic -1},
author = {Ashish K Upadhyay and Anand K Tiwari},
journal= {arXiv preprint arXiv:1310.5219},
year = {2013}
}
Comments
39 pages, 3 figures