2020/02/15 by Debashis Bhowmik, Bhowmik, Debashis, Dipendu Maity +5
Mathematics · #51M20 #52B70 #52C20 #57M60 #Combinatorics (math.CO) #FOS: Mathematics #Geometric Topology (math.GT) #math.CO #math.GT #msc:51M20 #msc:52B70 #msc:52C20 #msc:57M60
paper · pdf · doi:10.48550/arxiv.2002.06367
arxiv created 2020/04/30 · arxiv updated 2020/05/01
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.