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arXiv · 2002.06367

Semi-equivelar maps on the surface of Euler genus 3

Debashis Bhowmik·Dipendu Maity·Ashish Kumar Upadhyay·Bhanu Pratap Yadav
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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.

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Debashis Bhowmik, Dipendu Maity, Ashish Kumar Upadhyay, Bhanu Pratap Yadav. 2020-02-15. Semi-equivelar maps on the surface of Euler genus 3. https://arxiv.org/abs/2002.06367

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