On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid

In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG = Co-comparability. Moreover, we present some minimal forbidden induced subgr...

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Detalles Bibliográficos
Autores: Alcón, Liliana Graciela, Bonomo, Flavia, Mazzoleni, María Pía, de Souza Oliveira, Fabiano
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2021
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/164141
Acceso en línea:http://hdl.handle.net/11336/164141
Access Level:acceso abierto
Palabra clave:VERTEX INTERSECTION GRAPHS
GRIDS
CO-COMPARABILITY GRAPHS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario:In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG = Co-comparability. Moreover, we present some minimal forbidden induced subgraphs for the class of B1-PVPG graphs.