On the p3-hull number of kneser graphs
- Autores
- Grippo, Luciano Norberto; Pastine, Adrián Gabriel; Torres, Pablo Daniel; Valencia Pabon, Mario; Vera, Juan C.
- Año de publicación
- 2021
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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. Mathematics Subject Classifications: 05C76, 52A37, 05C85.
Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Pastine, Adrián Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina
Fil: Torres, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Fil: Valencia Pabon, Mario. Universite de Paris 1 - Pantheon Sorbonne.; Francia
Fil: Vera, Juan C.. Tilburg School of Economics and Management; Países Bajos - Materia
-
Kneser graphs
Hull convexity
Hull sets
Disease spread problems - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/182177
Ver los metadatos del registro completo
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On the p3-hull number of kneser graphsGrippo, Luciano NorbertoPastine, Adrián GabrielTorres, Pablo DanielValencia Pabon, MarioVera, Juan C.Kneser graphsHull convexityHull setsDisease spread problemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This 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. Mathematics Subject Classifications: 05C76, 52A37, 05C85.Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Pastine, Adrián Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; ArgentinaFil: Torres, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Valencia Pabon, Mario. Universite de Paris 1 - Pantheon Sorbonne.; FranciaFil: Vera, Juan C.. Tilburg School of Economics and Management; Países BajosElectronic Journal Of Combinatorics2021-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/182177Grippo, Luciano Norberto; Pastine, Adrián Gabriel; Torres, Pablo Daniel; Valencia Pabon, Mario; Vera, Juan C.; On the p3-hull number of kneser graphs; Electronic Journal Of Combinatorics; Electronic Journal Of Combinatorics, The; 28; 3; 7-2021; 1-91077-8926CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.combinatorics.org/ojs/index.php/eljc/article/view/v28i3p32info:eu-repo/semantics/altIdentifier/doi/10.37236/9903info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:24:21Zoai:ri.conicet.gov.ar:11336/182177instacron: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:34982025-10-15 15:24:21.525CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
| 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 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 Gabriel Torres, Pablo Daniel Valencia Pabon, Mario Vera, Juan C. |
| author |
Grippo, Luciano Norberto |
| author_facet |
Grippo, Luciano Norberto Pastine, Adrián Gabriel Torres, Pablo Daniel Valencia Pabon, Mario Vera, Juan C. |
| author_role |
author |
| author2 |
Pastine, Adrián Gabriel Torres, Pablo Daniel Valencia Pabon, Mario Vera, Juan C. |
| author2_role |
author author author author |
| dc.subject.none.fl_str_mv |
Kneser graphs Hull convexity Hull sets Disease spread problems |
| topic |
Kneser graphs Hull convexity Hull sets Disease spread problems |
| purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| dc.description.none.fl_txt_mv |
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. Mathematics Subject Classifications: 05C76, 52A37, 05C85. Fil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Pastine, Adrián Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - San Luis. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi". Universidad Nacional de San Luis. Facultad de Ciencias Físico, Matemáticas y Naturales. Instituto de Matemática Aplicada de San Luis "Prof. Ezio Marchi"; Argentina Fil: Torres, Pablo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina Fil: Valencia Pabon, Mario. Universite de Paris 1 - Pantheon Sorbonne.; Francia Fil: Vera, Juan C.. Tilburg School of Economics and Management; Países Bajos |
| description |
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. Mathematics Subject Classifications: 05C76, 52A37, 05C85. |
| publishDate |
2021 |
| dc.date.none.fl_str_mv |
2021-07 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
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article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/182177 Grippo, Luciano Norberto; Pastine, Adrián Gabriel; Torres, Pablo Daniel; Valencia Pabon, Mario; Vera, Juan C.; On the p3-hull number of kneser graphs; Electronic Journal Of Combinatorics; Electronic Journal Of Combinatorics, The; 28; 3; 7-2021; 1-9 1077-8926 CONICET Digital CONICET |
| url |
http://hdl.handle.net/11336/182177 |
| identifier_str_mv |
Grippo, Luciano Norberto; Pastine, Adrián Gabriel; Torres, Pablo Daniel; Valencia Pabon, Mario; Vera, Juan C.; On the p3-hull number of kneser graphs; Electronic Journal Of Combinatorics; Electronic Journal Of Combinatorics, The; 28; 3; 7-2021; 1-9 1077-8926 CONICET Digital CONICET |
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eng |
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eng |
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Electronic Journal Of Combinatorics |
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Electronic Journal Of Combinatorics |
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