Article
Irreductible Triangulations of the Once-Punctured Torus
Author/s | Lawrencenko, Serge
Sulanke, Thom Villar Liñán, María Trinidad Zgonnik, Lyudmila Vladimirovna Chávez de Diego, María José Portillo Fernández, José Ramón |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2018 |
Deposit Date | 2022-07-28 |
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 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 | Ministerio de Ciencia, Innovación y Universidades (MICINN). España |
Project ID. | MTM 2010-20445 |
Citation | Lawrencenko, S., Sulanke, T., Villar Liñán, M.T., Zgonnik, L.V., Chávez de Diego, M.J. y Portillo Fernández, J.R. (2018). Irreductible Triangulations of the Once-Punctured Torus. Siberian Electronic Mathematical Reports - Sibirskie Elektronnye Matematicheskie Izvestiya, 15, 277-304. |
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