A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connected graph G completely determines G. © 2017, Sprin...
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todo:paper_01795376_v58_n1_p144_Capitelli2023-10-03T15:08:34Z A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions Capitelli, N.A. Minian, E.G. Collapsibility Discrete Morse complex Discrete Morse theory We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connected graph G completely determines G. © 2017, Springer Science+Business Media New York. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01795376_v58_n1_p144_Capitelli |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Collapsibility Discrete Morse complex Discrete Morse theory |
| spellingShingle |
Collapsibility Discrete Morse complex Discrete Morse theory Capitelli, N.A. Minian, E.G. A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| topic_facet |
Collapsibility Discrete Morse complex Discrete Morse theory |
| description |
We prove that a connected simplicial complex is uniquely determined by its complex of discrete Morse functions. This settles a question raised by Chari and Joswig. In the 1-dimensional case, this implies that the complex of rooted forests of a connected graph G completely determines G. © 2017, Springer Science+Business Media New York. |
| format |
JOUR |
| author |
Capitelli, N.A. Minian, E.G. |
| author_facet |
Capitelli, N.A. Minian, E.G. |
| author_sort |
Capitelli, N.A. |
| title |
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| title_short |
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| title_full |
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| title_fullStr |
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| title_full_unstemmed |
A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions |
| title_sort |
simplicial complex is uniquely determined by its set of discrete morse functions |
| url |
http://hdl.handle.net/20.500.12110/paper_01795376_v58_n1_p144_Capitelli |
| work_keys_str_mv |
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1807324062584668160 |