Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014

Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014

The intersection matrix of a simplicial complex has entries equal to the rank of the intersecction of its facets. We prove that this matrix is enough to define up to isomorphism a triangulation of a surface.

Bibliographic Details
Main Authors: Arocha Jorge L., Bracho Javier, García-Colín Natalia, Hubard Isabel
Format: Article
Language:English
Published: Sciendo 2015-08-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
triangulated surface
isomorphism
intersection matrix
Online Access:https://doi.org/10.7151/dmgt.1816
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spelling doaj-86b787f164e8406191abe99bb72e86702021-09-05T17:20:21ZengSciendoDiscussiones Mathematicae Graph Theory2083-58922015-08-0135348349110.7151/dmgt.1816dmgt.1816Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014Arocha Jorge L.0Bracho Javier1García-Colín Natalia2Hubard Isabel3Instituto de Matemáticas Universidad Nacional Autónoma de México CU, México D.F. 04510Instituto de Matemáticas Universidad Nacional Autónoma de México CU, México D.F. 04510Instituto de Matemáticas Universidad Nacional Autónoma de México CU, México D.F. 04510Instituto de Matemáticas Universidad Nacional Autónoma de México CU, México D.F. 04510The intersection matrix of a simplicial complex has entries equal to the rank of the intersecction of its facets. We prove that this matrix is enough to define up to isomorphism a triangulation of a surface.https://doi.org/10.7151/dmgt.1816triangulated surfaceisomorphismintersection matrix
collection DOAJ
language English
format Article
sources DOAJ
author Arocha Jorge L.
Bracho Javier
García-Colín Natalia
Hubard Isabel
spellingShingle Arocha Jorge L.
Bracho Javier
García-Colín Natalia
Hubard Isabel
Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
Discussiones Mathematicae Graph Theory
triangulated surface
isomorphism
intersection matrix
author_facet Arocha Jorge L.
Bracho Javier
García-Colín Natalia
Hubard Isabel
author_sort Arocha Jorge L.
title Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
title_short Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
title_full Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
title_fullStr Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
title_full_unstemmed Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014
title_sort reconstructing surface triangulations by their intersection matrices 26 september 2014
publisher Sciendo
series Discussiones Mathematicae Graph Theory
issn 2083-5892
publishDate 2015-08-01
description The intersection matrix of a simplicial complex has entries equal to the rank of the intersecction of its facets. We prove that this matrix is enough to define up to isomorphism a triangulation of a surface.
topic triangulated surface
isomorphism
intersection matrix
url https://doi.org/10.7151/dmgt.1816
work_keys_str_mv AT arochajorgel reconstructingsurfacetriangulationsbytheirintersectionmatrices26september2014
AT brachojavier reconstructingsurfacetriangulationsbytheirintersectionmatrices26september2014
AT garciacolinnatalia reconstructingsurfacetriangulationsbytheirintersectionmatrices26september2014
AT hubardisabel reconstructingsurfacetriangulationsbytheirintersectionmatrices26september2014
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