Article
Irreducible triangulations of the once-punctured torus
Author/s | Lawrecenko, Serge
Sulanke, Thom Villar Liñán, María Trinidad Zgonnik, Lyudmila Vladimirovna Chávez de Diego, María José |
Department | Universidad de Sevilla. Departamento de Geometría y Topología Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2018 |
Deposit Date | 2018-10-31 |
Published in |
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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 ... 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. |
Funding agencies | Junta de Andalucía Ministerio de Ciencia e Innovación (MICIN). España |
Project ID. | FQM-189
FQM-164 MTM 2010-20445 |
Citation | Lawrecenko, 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. |
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