Asteroidal quadruples in non rooted path graphs
- Autores
- Gutiérrez, Marisa; Leveque, Benjamín; Tondato, Silvia B.
- Año de publicación
- 2015
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to find such characterizations for rooted path graphs. For this purpose, we are studying in this paper directed path graphs that are non rooted path graphs. We prove that such graphs always contain an asteroidal quadruple.
Facultad de Ciencias Exactas - Materia
-
Matemática
Asteroidal quadruples
Clique trees
Rooted path graphs - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/85929
Ver los metadatos del registro completo
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Asteroidal quadruples in non rooted path graphsGutiérrez, MarisaLeveque, BenjamínTondato, Silvia B.MatemáticaAsteroidal quadruplesClique treesRooted path graphsA directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to find such characterizations for rooted path graphs. For this purpose, we are studying in this paper directed path graphs that are non rooted path graphs. We prove that such graphs always contain an asteroidal quadruple.Facultad de Ciencias Exactas2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf603-614http://sedici.unlp.edu.ar/handle/10915/85929enginfo:eu-repo/semantics/altIdentifier/issn/1234-3099info:eu-repo/semantics/altIdentifier/doi/10.7151/dmgt.1821info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:16:59Zoai:sedici.unlp.edu.ar:10915/85929Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:16:59.601SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Asteroidal quadruples in non rooted path graphs |
| title |
Asteroidal quadruples in non rooted path graphs |
| spellingShingle |
Asteroidal quadruples in non rooted path graphs Gutiérrez, Marisa Matemática Asteroidal quadruples Clique trees Rooted path graphs |
| title_short |
Asteroidal quadruples in non rooted path graphs |
| title_full |
Asteroidal quadruples in non rooted path graphs |
| title_fullStr |
Asteroidal quadruples in non rooted path graphs |
| title_full_unstemmed |
Asteroidal quadruples in non rooted path graphs |
| title_sort |
Asteroidal quadruples in non rooted path graphs |
| dc.creator.none.fl_str_mv |
Gutiérrez, Marisa Leveque, Benjamín Tondato, Silvia B. |
| author |
Gutiérrez, Marisa |
| author_facet |
Gutiérrez, Marisa Leveque, Benjamín Tondato, Silvia B. |
| author_role |
author |
| author2 |
Leveque, Benjamín Tondato, Silvia B. |
| author2_role |
author author |
| dc.subject.none.fl_str_mv |
Matemática Asteroidal quadruples Clique trees Rooted path graphs |
| topic |
Matemática Asteroidal quadruples Clique trees Rooted path graphs |
| dc.description.none.fl_txt_mv |
A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to find such characterizations for rooted path graphs. For this purpose, we are studying in this paper directed path graphs that are non rooted path graphs. We prove that such graphs always contain an asteroidal quadruple. Facultad de Ciencias Exactas |
| description |
A directed path graph is the intersection graph of a family of directed subpaths of a directed tree. A rooted path graph is the intersection graph of a family of directed subpaths of a rooted tree. Rooted path graphs are directed path graphs. Several characterizations are known for directed path graphs: one by forbidden induced subgraphs and one by forbidden asteroids. It is an open problem to find such characterizations for rooted path graphs. For this purpose, we are studying in this paper directed path graphs that are non rooted path graphs. We prove that such graphs always contain an asteroidal quadruple. |
| publishDate |
2015 |
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2015 |
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eng |
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