Geodesic
Irreducible triangulations of the once-punctured torus
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 277-304

Voir la notice de l'article provenant de la source Math-Net.Ru

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.
Keywords: triangulation of 2-manifold, irreducible triangulation, 2-manifold with boundary, punctured torus. 
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     author = {S. Lawrencenko and T. Sulanke and M. T. Villar and L. V. Zgonnik and M. J. Ch\'avez and J. R. Portillo},
     title = {Irreducible triangulations of the once-punctured torus},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
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     volume = {15},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2018_15_a65/}
}
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S. Lawrencenko; T. Sulanke; M. T. Villar; L. V. Zgonnik; M. J. Chávez; J. R. Portillo. Irreducible triangulations of the once-punctured torus. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 15 (2018), pp. 277-304. http://geodesic.mathdoc.fr/item/SEMR_2018_15_a65/