The number of excellent discrete Morse functions on graphs

In Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse functions defined on S2 was obtained in the differentiable setting. We carried out an analogous study in the discrete setting for some kinds of graphs, including S1, in Ayala et al. (2009) [1]. This paper completes t...

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Autores: Ayala Gómez, Rafael, Fernández Ternero, Desamparados, Vilches Alarcón, José Antonio
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2011
País:España
Recursos:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/183597
Acesso em linha:https://hdl.handle.net/11441/183597
https://doi.org/10.1016/j.dam.2010.12.011
Access Level:acceso abierto
Palavra-chave:Infinite locally finite graph
Critical simplex
Homological sequence
Z-walk
Excellent discrete Morse function
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spelling The number of excellent discrete Morse functions on graphsAyala Gómez, RafaelFernández Ternero, DesamparadosVilches Alarcón, José AntonioInfinite locally finite graphCritical simplexHomological sequenceZ-walkExcellent discrete Morse functionIn Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse functions defined on S2 was obtained in the differentiable setting. We carried out an analogous study in the discrete setting for some kinds of graphs, including S1, in Ayala et al. (2009) [1]. This paper completes this study, counting excellent discrete Morse functions defined on any infinite locally finite graph.ElsevierGeometría y TopologíaFQM189: Homotopía Propia2011info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/183597https://doi.org/10.1016/j.dam.2010.12.011reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésDiscrete Applied Mathematics, 159 (16), 1676-1688. 10.1016/j.dam.2010.12.011info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1835972026-06-17T12:51:07Z
dc.title.none.fl_str_mv The number of excellent discrete Morse functions on graphs
title The number of excellent discrete Morse functions on graphs
spellingShingle The number of excellent discrete Morse functions on graphs
Ayala Gómez, Rafael
Infinite locally finite graph
Critical simplex
Homological sequence
Z-walk
Excellent discrete Morse function
title_short The number of excellent discrete Morse functions on graphs
title_full The number of excellent discrete Morse functions on graphs
title_fullStr The number of excellent discrete Morse functions on graphs
title_full_unstemmed The number of excellent discrete Morse functions on graphs
title_sort The number of excellent discrete Morse functions on graphs
dc.creator.none.fl_str_mv Ayala Gómez, Rafael
Fernández Ternero, Desamparados
Vilches Alarcón, José Antonio
author Ayala Gómez, Rafael
author_facet Ayala Gómez, Rafael
Fernández Ternero, Desamparados
Vilches Alarcón, José Antonio
author_role author
author2 Fernández Ternero, Desamparados
Vilches Alarcón, José Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Geometría y Topología
FQM189: Homotopía Propia
dc.subject.none.fl_str_mv Infinite locally finite graph
Critical simplex
Homological sequence
Z-walk
Excellent discrete Morse function
topic Infinite locally finite graph
Critical simplex
Homological sequence
Z-walk
Excellent discrete Morse function
description In Nicolaescu (2008) [7] the number of non-homologically equivalent excellent Morse functions defined on S2 was obtained in the differentiable setting. We carried out an analogous study in the discrete setting for some kinds of graphs, including S1, in Ayala et al. (2009) [1]. This paper completes this study, counting excellent discrete Morse functions defined on any infinite locally finite graph.
publishDate 2011
dc.date.none.fl_str_mv 2011
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/183597
https://doi.org/10.1016/j.dam.2010.12.011
url https://hdl.handle.net/11441/183597
https://doi.org/10.1016/j.dam.2010.12.011
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Discrete Applied Mathematics, 159 (16), 1676-1688.
10.1016/j.dam.2010.12.011
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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