Classification of Semi-equivelar and vertex-transitive maps on the surface of Euler genus 3

Debashis Bhowmik, Dipendu Maity, Ashish Kumar Upadhyay, Bhanu Pratap Yadav

Published 2020-02-15Version 1

If the cyclic sequence of faces for all the vertices in a polyhedral map are of the same types then the map is said to be a Semi-equivelar map. In this article we classify all semi-equivelar and vertex transitive maps on the surface of Euler genus 3, $i.e.$, on the surface of Euler characteristic $-1$.