Counting excellent discrete Morse functions on compact orientable surfaces

We obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.

Bibliographic Details
Authors: Ayala Gómez, Rafael, Fernández Ternero, Desamparados, Vilches Alarcón, José Antonio
Format: article
Status:Published version
Publication Date:2010
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/26189
Online Access:http://hdl.handle.net/11441/26189
Access Level:Open access
Keyword:Compact orientable triangulated surface
Critical simplex
discrete gradient vector field
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spelling Counting excellent discrete Morse functions on compact orientable surfacesAyala Gómez, RafaelFernández Ternero, DesamparadosVilches Alarcón, José AntonioCompact orientable triangulated surfaceCritical simplexdiscrete gradient vector fieldWe obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.Universidad de SevillaGeometría y Topología2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/26189reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésImage-A : Applicable Mathematics in Image Engineering, 1 (1), 49-56http://institucional.us.es/revistas/imagen_a/1/art_8.pdfinfo:eu-repo/semantics/openAccessoai:idus.us.es:11441/261892026-06-17T12:51:07Z
dc.title.none.fl_str_mv Counting excellent discrete Morse functions on compact orientable surfaces
title Counting excellent discrete Morse functions on compact orientable surfaces
spellingShingle Counting excellent discrete Morse functions on compact orientable surfaces
Ayala Gómez, Rafael
Compact orientable triangulated surface
Critical simplex
discrete gradient vector field
title_short Counting excellent discrete Morse functions on compact orientable surfaces
title_full Counting excellent discrete Morse functions on compact orientable surfaces
title_fullStr Counting excellent discrete Morse functions on compact orientable surfaces
title_full_unstemmed Counting excellent discrete Morse functions on compact orientable surfaces
title_sort Counting excellent discrete Morse functions on compact orientable surfaces
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
dc.subject.none.fl_str_mv Compact orientable triangulated surface
Critical simplex
discrete gradient vector field
topic Compact orientable triangulated surface
Critical simplex
discrete gradient vector field
description We obtain the number of non-homologically equivalent excellent discrete Morse functions defined on compact orientable surfaces. This work is a continuation of the study which has been done in [2, 4] for graphs.
publishDate 2010
dc.date.none.fl_str_mv 2010
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 http://hdl.handle.net/11441/26189
url http://hdl.handle.net/11441/26189
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Image-A : Applicable Mathematics in Image Engineering, 1 (1), 49-56
http://institucional.us.es/revistas/imagen_a/1/art_8.pdf
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 Universidad de Sevilla
publisher.none.fl_str_mv Universidad de Sevilla
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
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