A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions

Autores
Capitelli, Nicolás Ariel; Minian, Elias Gabriel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Minian, Elias Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Materia
COLLAPSIBILITY
DISCRETE MORSE COMPLEX
DISCRETE MORSE THEORY
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/55561
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/55561
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse FunctionsCapitelli, Nicolás ArielMinian, Elias GabrielCOLLAPSIBILITYDISCRETE MORSE COMPLEXDISCRETE MORSE THEORYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We 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.Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaFil: Minian, Elias Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; ArgentinaSpringer2017-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/55561Capitelli, Nicolás Ariel; Minian, Elias Gabriel; A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions; Springer; Discrete And Computational Geometry; 58; 1; 7-2017; 144-1570179-5376CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00454-017-9865-zinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.07457info:eu-repo/semantics/altIdentifier/doi/10.1007/s00454-017-9865-zinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:56:01Zoai:ri.conicet.gov.ar:11336/55561instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:56:01.311CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
title A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
spellingShingle A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
Capitelli, Nicolás Ariel
COLLAPSIBILITY
DISCRETE MORSE COMPLEX
DISCRETE MORSE THEORY
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 A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions
dc.creator.none.fl_str_mv Capitelli, Nicolás Ariel
Minian, Elias Gabriel
author Capitelli, Nicolás Ariel
author_facet Capitelli, Nicolás Ariel
Minian, Elias Gabriel
author_role author
author2 Minian, Elias Gabriel
author2_role author
dc.subject.none.fl_str_mv COLLAPSIBILITY
DISCRETE MORSE COMPLEX
DISCRETE MORSE THEORY
topic COLLAPSIBILITY
DISCRETE MORSE COMPLEX
DISCRETE MORSE THEORY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
Fil: Minian, Elias Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas ; Argentina
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.
publishDate 2017
dc.date.none.fl_str_mv 2017-07
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/55561
Capitelli, Nicolás Ariel; Minian, Elias Gabriel; A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions; Springer; Discrete And Computational Geometry; 58; 1; 7-2017; 144-157
0179-5376
CONICET Digital
CONICET
url http://hdl.handle.net/11336/55561
identifier_str_mv Capitelli, Nicolás Ariel; Minian, Elias Gabriel; A Simplicial Complex is Uniquely Determined by Its Set of Discrete Morse Functions; Springer; Discrete And Computational Geometry; 58; 1; 7-2017; 144-157
0179-5376
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00454-017-9865-z
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1509.07457
info:eu-repo/semantics/altIdentifier/doi/10.1007/s00454-017-9865-z
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842269377998618624
score 13.13397

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