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

Autores
Grippo, Luciano Norberto; González, Lucía M.; Safe, Martín D.
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: González, Lucía M. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Safe, Martín M. Universidad Nacional del Sur. Departamento de Matemática; Argentina.
We present formulas to compute the P3-interval number, the P3-hullnumber and the percolation time for a caterpillar, in terms of certainsequences associated with it. In addition, we find a connection betweenthe percolation time of a unit interval graph and a parameter involvingthe diameter of a unit interval graph related to it. Finally, we presenta hereditary graph class, defined by forbidden induced subgraphs, suchthat its percolation time is equal to one.
Fuente
Australasian Journal of Combinatorics. 2-2021; 79(3): 401-423
https://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p401.pdf
Materia
Caterpillars
P_3-Convexity
Unit Interval Graphs
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/4.0/
Repositorio
Repositorio Institucional UNGS
Institución
Universidad Nacional de General Sarmiento
OAI Identificador
oai:repositorio.ungs.edu.ar:UNGS/1584
Acceder
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oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/1584
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling Formulas in connection with parameters related to convexity of paths on three vertices : caterpillars and unit interval graphsGrippo, Luciano NorbertoGonzález, Lucía M.Safe, Martín D.CaterpillarsP_3-ConvexityUnit Interval GraphsFil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.Fil: González, Lucía M. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Safe, Martín M. Universidad Nacional del Sur. Departamento de Matemática; Argentina.We present formulas to compute the P3-interval number, the P3-hullnumber and the percolation time for a caterpillar, in terms of certainsequences associated with it. In addition, we find a connection betweenthe percolation time of a unit interval graph and a parameter involvingthe diameter of a unit interval graph related to it. Finally, we presenta hereditary graph class, defined by forbidden induced subgraphs, suchthat its percolation time is equal to one.Combinatorial Mathematics Society of Australasia (CMSA)2024-07-16T17:07:06Z2024-07-16T17:07:06Z2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfGrippo, L. N., González, L. M. y Safe, M. D. (2-2021). Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs. The Australasian journal of combinatorics, 79(3), 401–423.2202-3518http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1584Australasian Journal of Combinatorics. 2-2021; 79(3): 401-423https://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p401.pdfreponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2025-11-06T10:40:37Zoai:repositorio.ungs.edu.ar:UNGS/1584instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2025-11-06 10:40:37.556Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
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
Grippo, Luciano Norberto
Caterpillars
P_3-Convexity
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 Grippo, Luciano Norberto
González, Lucía M.
Safe, Martín D.
author Grippo, Luciano Norberto
author_facet Grippo, Luciano Norberto
González, Lucía M.
Safe, Martín D.
author_role author
author2 González, Lucía M.
Safe, Martín D.
author2_role author
author
dc.subject.none.fl_str_mv Caterpillars
P_3-Convexity
Unit Interval Graphs
topic Caterpillars
P_3-Convexity
Unit Interval Graphs
dc.description.none.fl_txt_mv Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Grippo, Luciano Norberto. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: González, Lucía M. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Safe, Martín M. Universidad Nacional del Sur. Departamento de Matemática; Argentina.
We present formulas to compute the P3-interval number, the P3-hullnumber and the percolation time for a caterpillar, in terms of certainsequences associated with it. In addition, we find a connection betweenthe percolation time of a unit interval graph and a parameter involvingthe diameter of a unit interval graph related to it. Finally, we presenta hereditary graph class, defined by forbidden induced subgraphs, suchthat its percolation time is equal to one.
description Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024-07-16T17:07:06Z
2024-07-16T17:07:06Z
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 Grippo, L. N., González, L. M. y Safe, M. D. (2-2021). Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs. The Australasian journal of combinatorics, 79(3), 401–423.
2202-3518
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1584
identifier_str_mv Grippo, L. N., González, L. M. y Safe, M. D. (2-2021). Formulas in connection with parameters related to convexity of paths on three vertices: caterpillars and unit interval graphs. The Australasian journal of combinatorics, 79(3), 401–423.
2202-3518
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1584
dc.language.none.fl_str_mv eng
language eng
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Combinatorial Mathematics Society of Australasia (CMSA)
publisher.none.fl_str_mv Combinatorial Mathematics Society of Australasia (CMSA)
dc.source.none.fl_str_mv Australasian Journal of Combinatorics. 2-2021; 79(3): 401-423
https://ajc.maths.uq.edu.au/pdf/79/ajc_v79_p401.pdf
reponame:Repositorio Institucional UNGS
instname:Universidad Nacional de General Sarmiento
reponame_str Repositorio Institucional UNGS
collection Repositorio Institucional UNGS
instname_str Universidad Nacional de General Sarmiento
repository.name.fl_str_mv Repositorio Institucional UNGS - Universidad Nacional de General Sarmiento
repository.mail.fl_str_mv ubyd@campus.ungs.edu.ar
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score 12.576249

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