Vertex intersection graphs of paths on a grid: characterization within block graphs

Mostrar todas las versiones(2)

Weinvestigate graphs that can be represented as vertex intersections of horizontal and vertical paths in a grid, the so called B0-VPG graphs. Recognizing this class is an NP-complete problem. Although, there exists a polynomial time algorithm for recognizing chordal B0-VPG graphs. In this paper, we...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Alcón, Liliana Graciela, Bonomo, Flavia, Mazzoleni, María Pía
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2017
Materias:
Matemática
vertex intersection graphs
paths on a grid
forbidden induced subgraphs
block graphs
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/130780
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-130780
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
vertex intersection graphs
paths on a grid
forbidden induced subgraphs
block graphs
spellingShingle Matemática
vertex intersection graphs
paths on a grid
forbidden induced subgraphs
block graphs
Alcón, Liliana Graciela
Bonomo, Flavia
Mazzoleni, María Pía
Vertex intersection graphs of paths on a grid: characterization within block graphs
topic_facet Matemática
vertex intersection graphs
paths on a grid
forbidden induced subgraphs
block graphs
description Weinvestigate graphs that can be represented as vertex intersections of horizontal and vertical paths in a grid, the so called B0-VPG graphs. Recognizing this class is an NP-complete problem. Although, there exists a polynomial time algorithm for recognizing chordal B0-VPG graphs. In this paper, we present a minimal forbidden induced subgraph characterization of B0-VPG graphs restricted to block graphs. As a byproduct, the proof of the main theorem provides an alternative certifying recognition and representation algorithm for B0-VPG graphs in the class of block graphs.
format Articulo
Preprint
author Alcón, Liliana Graciela
Bonomo, Flavia
Mazzoleni, María Pía
author_facet Alcón, Liliana Graciela
Bonomo, Flavia
Mazzoleni, María Pía
author_sort Alcón, Liliana Graciela
title Vertex intersection graphs of paths on a grid: characterization within block graphs
title_short Vertex intersection graphs of paths on a grid: characterization within block graphs
title_full Vertex intersection graphs of paths on a grid: characterization within block graphs
title_fullStr Vertex intersection graphs of paths on a grid: characterization within block graphs
title_full_unstemmed Vertex intersection graphs of paths on a grid: characterization within block graphs
title_sort vertex intersection graphs of paths on a grid: characterization within block graphs
publishDate 2017
url http://sedici.unlp.edu.ar/handle/10915/130780
work_keys_str_mv AT alconlilianagraciela vertexintersectiongraphsofpathsonagridcharacterizationwithinblockgraphs
AT bonomoflavia vertexintersectiongraphsofpathsonagridcharacterizationwithinblockgraphs
AT mazzolenimariapia vertexintersectiongraphsofpathsonagridcharacterizationwithinblockgraphs
bdutipo_str Repositorios
_version_ 1764820452792860673

Ejemplares similares