论文标题

Euler属3的表面上的半等级图

Semi-equivelar maps on the surface of Euler genus 3

论文作者

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

论文摘要

如果地图中所有顶点的面部的循环序列都是相同类型的,则据说该地图是半等级地图。在本文中,我们将Euler属3,$,即$的所有类型的半等级地图对Euler特征$ -1 $的表面进行了分类。也就是说,我们在Euler Char的表面上呈现{完整的映射类型的半等级地图(如果存在)。 $ -1 $。我们知道某些类型的半等级地图(同构)的完整列表。在这里,我们还提供了一种类型和其他类型的半等级地图的完整列表,可以遵循类似的步骤。

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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