Semi-equivelar maps on the surface of Euler genus 3
Combinatorics
2020-05-01 v2 Geometric Topology
Abstract
If the cyclic sequence of faces for all the vertices in a map are of same type, then the map is said to be a semi-equivelar map. In this article, we classify all the types of semi-equivelar maps on the surface of Euler genus 3, , on the surface of Euler characteristic . That is, we present {a complete map types of} semi-equivelar maps (if exist) on the surface of Euler char. . We know the complete list of semi-equivelar maps (upto isomorphism) for some types. Here, we also present a complete list of semi-equivelar maps for one type and for other types, similar steps can be followed.
Cite
@article{arxiv.2002.06367,
title = {Semi-equivelar maps on the surface of Euler genus 3},
author = {Debashis Bhowmik and Dipendu Maity and Ashish Kumar Upadhyay and Bhanu Pratap Yadav},
journal= {arXiv preprint arXiv:2002.06367},
year = {2020}
}