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.
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
University of Zielona Góra
2015-08-01
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| Series: | Discussiones Mathematicae Graph Theory |
| Subjects: | |
| Online Access: | https://doi.org/10.7151/dmgt.1816 |
| _version_ | 1797704403267878912 |
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| author | Arocha Jorge L. Bracho Javier García-Colín Natalia Hubard Isabel |
| author_facet | Arocha Jorge L. Bracho Javier García-Colín Natalia Hubard Isabel |
| author_sort | Arocha Jorge L. |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-03-12T05:19:51Z |
| format | Article |
| id | doaj.art-86b787f164e8406191abe99bb72e8670 |
| institution | Directory Open Access Journal |
| issn | 2083-5892 |
| language | English |
| last_indexed | 2024-03-12T05:19:51Z |
| publishDate | 2015-08-01 |
| publisher | University of Zielona Góra |
| record_format | Article |
| series | Discussiones Mathematicae Graph Theory |
| spelling | doaj.art-86b787f164e8406191abe99bb72e86702023-09-03T07:47:15ZengUniversity of Zielona GóraDiscussiones 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 |
| 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 |
| title | 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_short | Reconstructing Surface Triangulations by Their Intersection Matrices 26 September 2014 |
| title_sort | reconstructing surface triangulations by their intersection matrices 26 september 2014 |
| topic | triangulated surface isomorphism intersection matrix |
| url | https://doi.org/10.7151/dmgt.1816 |
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