IRREDUCIBLE TRIANGULATIONS OF THE ONCE-PUNCTURED TORUS

被引：2

作者：

Lawrencenko, S. ^{[1
]}

Sulanke, T. ^{[2
]}

Villar, M. T. ^{[3
]}

Zgonnik, L. V. ^{[1
]}

Chavez, M. J. ^{[4
]}

Portillo, J. R. ^{[4
]}

机构：

[1] Russian State Univ Tourism & Serv, Inst Tourism & Hospitality, Kronstadt Blvd 32A, Moscow 125438, Russia

[2] Indiana Univ, Dept Phys, Bloomington, IN 47405 USA

[3] Univ Seville, Dept Geometria & Topol, C Tarfia S-N, E-41012 Seville, Spain

[4] Univ Seville, Dept Matemat Aplicada 1, Avda Reina Mercedes S-N, Seville, Spain

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2018年 / 15卷

关键词：

triangulation of 2-manifold; irreducible triangulation; 2-manifold with boundary; punctured torus;

D O I：

10.17377/semi.2018.15.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A triangulation of a surface with fixed topological type is called irreducible if no edge can be contracted to a vertex while remaining in the category of simplicial complexes and preserving the topology of the surface. 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.

引用

页码：277 / 304

页数：28

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