Abstract:
A graph G is a B0-VPG graph if it is the vertex intersection graph of horizontal and vertical paths on a grid. A graph G is a contact B0-VPG graph if the vertices can be represented by interiorly disjoint horizontal or vertical paths on a grid and two vertices are adjacent if and only if the corresponding paths touch. In this paper, we present a minimal forbidden induced subgraph characterisation of contact B0-VPG graphs within the class of chordal graphs and provide a polynomial-time algorithm for recognising these graphs. © 2018, Springer International Publishing AG, part of Springer Nature.
Registro:
Documento: |
Artículo
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Título: | Characterising Chordal ContactB0-VPG Graphs |
Autor: | Bonomo, F.; Mazzoleni, M.P.; Rean, M.L.; Ries, B.; Rinaldi G.; Mahjoub A.R.; Lee J. |
Filiación: | Facultad de Ciencias Exactas y Naturales, Departamento de Computación, Universidad de Buenos Aires, Buenos Aires, Argentina Instituto de Investigación en Ciencias de la Computación (ICC), CONICET-Universidad de Buenos Aires, Buenos Aires, Argentina Facultad de Ciencias Exactas, Departamento de Matemática, Univesidad Nacional de La Plata, La Plata, Argentina CONICET, Buenos Aires, Argentina University of Fribourg, Fribourg, Switzerland
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Palabras clave: | Chordal graphs; Contact B0-VPG graphs; Forbidden induced subgraphs; Polynomial-time algorithm; Vertex intersection graphs; Combinatorial optimization; Graphic methods; Polynomial approximation; Chordal graphs; Forbidden induced subgraphs; Graph G; Induced subgraphs; Intersection graph; Polynomial-time algorithms; Graph theory |
Año: | 2018
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Volumen: | 10856 LNCS
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Página de inicio: | 89
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Página de fin: | 100
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DOI: |
http://dx.doi.org/10.1007/978-3-319-96151-4_8 |
Título revista: | 5th International Symposium on Combinatorial Optimization, ISCO 2018
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Título revista abreviado: | Lect. Notes Comput. Sci.
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ISSN: | 03029743
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03029743_v10856LNCS_n_p89_Bonomo |
Referencias:
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Citas:
---------- APA ----------
Bonomo, F., Mazzoleni, M.P., Rean, M.L., Ries, B., Rinaldi G., Mahjoub A.R. & Lee J.
(2018)
. Characterising Chordal ContactB0-VPG Graphs. 5th International Symposium on Combinatorial Optimization, ISCO 2018, 10856 LNCS, 89-100.
http://dx.doi.org/10.1007/978-3-319-96151-4_8---------- CHICAGO ----------
Bonomo, F., Mazzoleni, M.P., Rean, M.L., Ries, B., Rinaldi G., Mahjoub A.R., et al.
"Characterising Chordal ContactB0-VPG Graphs"
. 5th International Symposium on Combinatorial Optimization, ISCO 2018 10856 LNCS
(2018) : 89-100.
http://dx.doi.org/10.1007/978-3-319-96151-4_8---------- MLA ----------
Bonomo, F., Mazzoleni, M.P., Rean, M.L., Ries, B., Rinaldi G., Mahjoub A.R., et al.
"Characterising Chordal ContactB0-VPG Graphs"
. 5th International Symposium on Combinatorial Optimization, ISCO 2018, vol. 10856 LNCS, 2018, pp. 89-100.
http://dx.doi.org/10.1007/978-3-319-96151-4_8---------- VANCOUVER ----------
Bonomo, F., Mazzoleni, M.P., Rean, M.L., Ries, B., Rinaldi G., Mahjoub A.R., et al. Characterising Chordal ContactB0-VPG Graphs. Lect. Notes Comput. Sci. 2018;10856 LNCS:89-100.
http://dx.doi.org/10.1007/978-3-319-96151-4_8