Irreducible Triangulations Of The Once-Punctured Torus

S. Lawrencenko,T. Sulanke,M. T. Villar, L. V. Zgonnik,M. J. Chávez

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA（2018）

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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.

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关键词

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

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