Singular maps on the Klein bottle
type: Item
instance of: scholarly article
title: Singular maps on the Klein bottle
zbMATH Open document ID: 1009.05068
author: Yanpei Liu
author: ZhaoXiang Li
published in: Applied Mathematics. Series B (English Edition)
publication date: 2003-04-28T00:00:00Z
review text: A map on a surface is called singular if it has only one face. This paper presents a two-parameter generating function for counting rooted singular maps on the Klein bottle by the number of edges and the valency of the root-vertex and an explicit formula for counting these maps by the number of edges alone. The paper then includes the set of vertex valencies as a parameter and presents a functional equation satisfied by the corresponding generating function.
Mathematics Subject Classification ID: 05C30
Mathematics Subject Classification ID: 05C10
Mathematics Subject Classification ID: 05C45
zbMATH DE Number: 1836089
zbMATH Keywords: enumerating function
reviewed by: Timothy R. S. Walsh
MaRDI profile type: Publication
full work available at URL: s11766-002-0016-8
OpenAlex ID: W2312581337
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DOI: 10.1007/S11766-002-0016-8
description: scientific article; zbMATH DE number 1836089