On the P3-hull number of Kneser graphs

Autores
Grippo, Luciano Norberto; Pastine, Adrián; Torres, Pablo Daniel; Valencia-Pabon, Mario; Vera, Juan C.
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: Pastine, Adrián. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Pastine, Adrián Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis; Argentina.
Fil: Valencia Pabon, Mario. Universite de Paris 1 - Pantheon Sorbonne; Francia.
Fil: Vera, Juan C. Tilburg School of Economics and Management; Países Bajos.
This paper considers an infection spreading in a graph; a vertex gets infected if at least two of its neighbors are infected. The P3-hull number is the minimum size of a vertex set that eventually infects the whole graph. In the specific case of the Kneser graph K(n, k), with n ? 2k + 1, an infection spreading on the family of k-sets of an n-set is considered. A set is infected whenever two sets disjoint from it are infected. We compute the exact value of the P3-hull number of K(n, k) for n > 2k + 1. For n = 2k + 1, using graph homomorphisms from the Knesser graph to the Hypercube, we give lower and upper bounds.
Fuente
The Electronic Journal of Combinatorics. 7-2021; 28(3): 3-32
https://www.combinatorics.org/ojs/index.php/eljc/article/view/v28i3p32/pdf
Materia
Kneser Graphs
P_3-Convexity
P_3-Hull Number
Hull convexity
Hull sets
Disease spread problems
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/1585
Acceder
id RIUNGS_b1d8765a4f221674efdac89e41999eff
oai_identifier_str oai:repositorio.ungs.edu.ar:UNGS/1585
network_acronym_str RIUNGS
repository_id_str
network_name_str Repositorio Institucional UNGS
spelling On the P3-hull number of Kneser graphsGrippo, Luciano NorbertoPastine, AdriánTorres, Pablo DanielValencia-Pabon, MarioVera, Juan C.Kneser GraphsP_3-ConvexityP_3-Hull NumberHull convexityHull setsDisease spread problemsFil: 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: Pastine, Adrián. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.Fil: Pastine, Adrián Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis; Argentina.Fil: Valencia Pabon, Mario. Universite de Paris 1 - Pantheon Sorbonne; Francia.Fil: Vera, Juan C. Tilburg School of Economics and Management; Países Bajos.This paper considers an infection spreading in a graph; a vertex gets infected if at least two of its neighbors are infected. The P3-hull number is the minimum size of a vertex set that eventually infects the whole graph. In the specific case of the Kneser graph K(n, k), with n ? 2k + 1, an infection spreading on the family of k-sets of an n-set is considered. A set is infected whenever two sets disjoint from it are infected. We compute the exact value of the P3-hull number of K(n, k) for n > 2k + 1. For n = 2k + 1, using graph homomorphisms from the Knesser graph to the Hypercube, we give lower and upper bounds.The Electronic Journal of Combinatorics2024-07-16T17:07:07Z2024-07-16T17:07:07Z2021info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfGrippo, L. N. et al. (7-2021). On the P3-hull number of Kneser graphs. The Electronic Journal of Combinatorics, 28(3), 3-32.1077-8926http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1585The Electronic Journal of Combinatorics. 7-2021; 28(3): 3-32https://www.combinatorics.org/ojs/index.php/eljc/article/view/v28i3p32/pdfreponame:Repositorio Institucional UNGSinstname:Universidad Nacional de General Sarmientoenghttps://doi.org/10.37236/9903info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/4.0/2025-09-18T11:36:47Zoai:repositorio.ungs.edu.ar:UNGS/1585instacron:UNGSInstitucionalhttp://repositorio.ungs.edu.ar:8080/Universidad públicahttps://www.ungs.edu.ar/http://repositorio.ungs.edu.ar:8080/oaiubyd@campus.ungs.edu.arArgentinaopendoar:2025-09-18 11:36:47.861Repositorio Institucional UNGS - Universidad Nacional de General Sarmientofalse
dc.title.none.fl_str_mv On the P3-hull number of Kneser graphs
title On the P3-hull number of Kneser graphs
spellingShingle On the P3-hull number of Kneser graphs
Grippo, Luciano Norberto
Kneser Graphs
P_3-Convexity
P_3-Hull Number
Hull convexity
Hull sets
Disease spread problems
title_short On the P3-hull number of Kneser graphs
title_full On the P3-hull number of Kneser graphs
title_fullStr On the P3-hull number of Kneser graphs
title_full_unstemmed On the P3-hull number of Kneser graphs
title_sort On the P3-hull number of Kneser graphs
dc.creator.none.fl_str_mv Grippo, Luciano Norberto
Pastine, Adrián
Torres, Pablo Daniel
Valencia-Pabon, Mario
Vera, Juan C.
author Grippo, Luciano Norberto
author_facet Grippo, Luciano Norberto
Pastine, Adrián
Torres, Pablo Daniel
Valencia-Pabon, Mario
Vera, Juan C.
author_role author
author2 Pastine, Adrián
Torres, Pablo Daniel
Valencia-Pabon, Mario
Vera, Juan C.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Kneser Graphs
P_3-Convexity
P_3-Hull Number
Hull convexity
Hull sets
Disease spread problems
topic Kneser Graphs
P_3-Convexity
P_3-Hull Number
Hull convexity
Hull sets
Disease spread problems
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: Pastine, Adrián. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Pastine, Adrián Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis; Argentina.
Fil: Valencia Pabon, Mario. Universite de Paris 1 - Pantheon Sorbonne; Francia.
Fil: Vera, Juan C. Tilburg School of Economics and Management; Países Bajos.
This paper considers an infection spreading in a graph; a vertex gets infected if at least two of its neighbors are infected. The P3-hull number is the minimum size of a vertex set that eventually infects the whole graph. In the specific case of the Kneser graph K(n, k), with n ? 2k + 1, an infection spreading on the family of k-sets of an n-set is considered. A set is infected whenever two sets disjoint from it are infected. We compute the exact value of the P3-hull number of K(n, k) for n > 2k + 1. For n = 2k + 1, using graph homomorphisms from the Knesser graph to the Hypercube, we give lower and upper bounds.
description Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
publishDate 2021
dc.date.none.fl_str_mv 2021
2024-07-16T17:07:07Z
2024-07-16T17:07:07Z
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. et al. (7-2021). On the P3-hull number of Kneser graphs. The Electronic Journal of Combinatorics, 28(3), 3-32.
1077-8926
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1585
identifier_str_mv Grippo, L. N. et al. (7-2021). On the P3-hull number of Kneser graphs. The Electronic Journal of Combinatorics, 28(3), 3-32.
1077-8926
url http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/1585
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://doi.org/10.37236/9903
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
application/pdf
dc.publisher.none.fl_str_mv The Electronic Journal of Combinatorics
publisher.none.fl_str_mv The Electronic Journal of Combinatorics
dc.source.none.fl_str_mv The Electronic Journal of Combinatorics. 7-2021; 28(3): 3-32
https://www.combinatorics.org/ojs/index.php/eljc/article/view/v28i3p32/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
_version_ 1843613734741737472
score 12.490522

Publicaciones similares