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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Detalles Bibliográficos
Autor principal: Minian, Elias Gabriel
Publicado: 2017
Materias:
Collapsibility
Discrete Morse complex
Discrete Morse theory
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01795376_v58_n1_p144_Capitelli
http://hdl.handle.net/20.500.12110/paper_01795376_v58_n1_p144_Capitelli
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_01795376_v58_n1_p144_Capitelli
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spelling paper:paper_01795376_v58_n1_p144_Capitelli2023-06-08T15:19:30Z A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions Minian, Elias Gabriel 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. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01795376_v58_n1_p144_Capitelli 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
Minian, Elias Gabriel
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.
author Minian, Elias Gabriel
author_facet Minian, Elias Gabriel
author_sort Minian, Elias Gabriel
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
publishDate 2017
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01795376_v58_n1_p144_Capitelli
http://hdl.handle.net/20.500.12110/paper_01795376_v58_n1_p144_Capitelli
work_keys_str_mv AT minianeliasgabriel asimplicialcomplexisuniquelydeterminedbyitssetofdiscretemorsefunctions
AT minianeliasgabriel simplicialcomplexisuniquelydeterminedbyitssetofdiscretemorsefunctions
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