Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs

Autores
González, Lucía M.; Grippo, Luciano Norberto; Safe, Martin Dario
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We present formulas to compute the P3 -interval number, the P3 -hull number and the percolation time for a caterpillar, in terms of certain sequences associated with it. In addition, we find a connection between the percolation time of a unit interval graph and a parameter involving the diameter of a unit interval graph related to it. Finally, we present a hereditary graph class, defined by forbidden induced subgraphs, such that its percolation time is equal to one.
Fil: González, Lucía M.. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Fil: Safe, Martin Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
Materia
CONVEXITY OF PATHS
CATERPILLARS
UNIT INTERVAL GRAPHS
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:11336/136082
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphsGonzález, Lucía M.Grippo, Luciano NorbertoSafe, Martin DarioCONVEXITY OF PATHSCATERPILLARSUNIT INTERVAL GRAPHShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We present formulas to compute the P3 -interval number, the P3 -hull number and the percolation time for a caterpillar, in terms of certain sequences associated with it. In addition, we find a connection between the percolation time of a unit interval graph and a parameter involving the diameter of a unit interval graph related to it. Finally, we present a hereditary graph class, defined by forbidden induced subgraphs, such that its percolation time is equal to one.Fil: González, Lucía M.. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaFil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; ArgentinaFil: Safe, Martin Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; ArgentinaThe University of Queensland. Combinatorial Mathematics Society of Australasia2021-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/136082González, Lucía M.; Grippo, Luciano Norberto; Safe, Martin Dario; Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs; The University of Queensland. Combinatorial Mathematics Society of Australasia; The Australasian journal of combinatorics; 79; 3; 2-2021; 401-4231034-49422202-3518CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://ajc.maths.uq.edu.au/?page=get_volumes&volume=79info:eu-repo/semantics/altIdentifier/url/http://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p401.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:09:47Zoai:ri.conicet.gov.ar:11336/136082instacron: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 10:09:47.884CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
title Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
spellingShingle Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
González, Lucía M.
CONVEXITY OF PATHS
CATERPILLARS
UNIT INTERVAL GRAPHS
title_short Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
title_full Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
title_fullStr Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
title_full_unstemmed Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
title_sort Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs
dc.creator.none.fl_str_mv González, Lucía M.
Grippo, Luciano Norberto
Safe, Martin Dario
author González, Lucía M.
author_facet González, Lucía M.
Grippo, Luciano Norberto
Safe, Martin Dario
author_role author
author2 Grippo, Luciano Norberto
Safe, Martin Dario
author2_role author
author
dc.subject.none.fl_str_mv CONVEXITY OF PATHS
CATERPILLARS
UNIT INTERVAL GRAPHS
topic CONVEXITY OF PATHS
CATERPILLARS
UNIT INTERVAL GRAPHS
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 present formulas to compute the P3 -interval number, the P3 -hull number and the percolation time for a caterpillar, in terms of certain sequences associated with it. In addition, we find a connection between the percolation time of a unit interval graph and a parameter involving the diameter of a unit interval graph related to it. Finally, we present a hereditary graph class, defined by forbidden induced subgraphs, such that its percolation time is equal to one.
Fil: González, Lucía M.. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina
Fil: Safe, Martin Dario. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca. Instituto de Matemática Bahía Blanca. Universidad Nacional del Sur. Departamento de Matemática. Instituto de Matemática Bahía Blanca; Argentina
description We present formulas to compute the P3 -interval number, the P3 -hull number and the percolation time for a caterpillar, in terms of certain sequences associated with it. In addition, we find a connection between the percolation time of a unit interval graph and a parameter involving the diameter of a unit interval graph related to it. Finally, we present a hereditary graph class, defined by forbidden induced subgraphs, such that its percolation time is equal to one.
publishDate 2021
dc.date.none.fl_str_mv 2021-02
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/11336/136082
González, Lucía M.; Grippo, Luciano Norberto; Safe, Martin Dario; Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs; The University of Queensland. Combinatorial Mathematics Society of Australasia; The Australasian journal of combinatorics; 79; 3; 2-2021; 401-423
1034-4942
2202-3518
CONICET Digital
CONICET
url http://hdl.handle.net/11336/136082
identifier_str_mv González, Lucía M.; Grippo, Luciano Norberto; Safe, Martin Dario; Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs; The University of Queensland. Combinatorial Mathematics Society of Australasia; The Australasian journal of combinatorics; 79; 3; 2-2021; 401-423
1034-4942
2202-3518
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://ajc.maths.uq.edu.au/?page=get_volumes&volume=79
info:eu-repo/semantics/altIdentifier/url/http://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p401.pdf
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 The University of Queensland. Combinatorial Mathematics Society of Australasia
publisher.none.fl_str_mv The University of Queensland. Combinatorial Mathematics Society of Australasia
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
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score 13.13397

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