Irreducible triangulations of the once-punctured torus
type: Item
instance of: scholarly article
title: Irreducible triangulations of the once-punctured torus
zbMATH Open document ID: 1400.57023
author: L. V. Zgonnik
author: M. J. Chávez
author: Serge Lawrencenko
author: Thom Sulanke
author: M. T. Villar
author: J. R. Portillo
publication date: 2018-09-04T00:00:00Z
review text: For a surface \(S\) and an open disc \(D\subset S\), the compact surface \(S - D\), i.e. \(S\) minus the open disk \(D\) (the hole) is called a once-punctured surface. A triangulation of a once-punctured surface is called irreducible if no edge can be shrunk without producing multiple edges or changing the topological type of the surface. In this article, a complete list of combinatorial structures of irreducible triangulations is made by hand for the once-punctured torus, consisting of exactly 297 non-isomorphic triangulations.
reviewed by: Biplab Basak
Mathematics Subject Classification ID: 57Q15
Mathematics Subject Classification ID: 57M15
zbMATH DE Number: 6931826
zbMATH Keywords: triangulation of 2-manifolds
zbMATH Keywords: irreducible triangulation
zbMATH Keywords: 2-manifold with boundary
zbMATH Keywords: punctured torus
describes a project that uses: Surftri
MaRDI profile type: Publication
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published in: Sibirskie Elektronnye Matematicheskie Izvestiya
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description: scientific article; zbMATH DE number 6931826