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Semi-equivelar maps on the surface of Euler genus 3

Authors :
Bhowmik, Debashis
Maity, Dipendu
Upadhyay, Ashish Kumar
Yadav, Bhanu Pratap
Publication Year :
2020

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, $i.e.$, on the surface of Euler characteristic $-1$. That is, we present {a complete map types of} semi-equivelar maps (if exist) on the surface of Euler char. $-1$. 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.

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2002.06367
Document Type :
Working Paper