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arXiv · 1410.7738

An algorithm that constructs irreducible triangulations of once-punctured surfaces

María José Chávez·Serge Lawrencenko·José Ramón Portillo·María Trinidad Villar
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Abstract

A triangulation of a surface is irreducible if there is no edge whose contraction produces another triangulation of the surface. In this work we propose an algorithm that constructs the set of irreducible triangulations of any surface with precisely one boundary component. By implementing the algorithm on computer, we have found a list of 297 nonisomorphic combinatorial types of irreducible triangulations on the once-punctured torus.

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María José Chávez, Serge Lawrencenko, José Ramón Portillo, María Trinidad Villar. 2016-10-11. An algorithm that constructs irreducible triangulations of once-punctured surfaces. https://arxiv.org/abs/1410.7738

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