2018-10-312018-10-312018Lawrecenko, S., Sulanke, T., Villar Liñán, M.T., Zgonnik, L.V. y Chávez de Diego, M.J. (2018). Irreducible triangulations of the once-punctured torus. Sibirskie Elektronnye Matematicheskie Izvestiya (Siberian Electronic Mathematical Reports), 15, 277-304.1813-3304https://hdl.handle.net/11441/79721A 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Triangulation of 2-manifoldIrreducible triangulation2-manifold with boundaryPunctured torusIrreducible triangulations of the once-punctured torusinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.17377/semi.2018.15.026