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arXiv · 1511.00731

Irreducible triangulations of the once-punctured torus

S. Lawrencenko·T. Sulanke·M. T. Villar·L. V. Zgonnik·M. J. Chávez·J. R. Portillo
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Abstract

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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S. Lawrencenko, T. Sulanke, M. T. Villar, L. V. Zgonnik, M. J. Chávez, J. R. Portillo. 2021-03-05. Irreducible triangulations of the once-punctured torus. https://doi.org/10.17377/semi.2018.15.026

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