Abstract:
We study those unit interval graphs having a model with intervals of prescribed integer length. We present a structural result for this subclass which leads to a quadratic-time recognition algorithm of it, giving as positive certificate a model of minimum total length and as negative certificate a forbidden induced subgraph. © 2015 Elsevier B.V.
Registro:
Documento: |
Artículo
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Título: | On unit interval graphs with integer endpoints |
Autor: | Durán, G.; Fernández Slezak, F.; Grippo, L.N.; de S. Oliveira, F.; Szwarcfiter, J. |
Filiación: | CONICET, Argentina Instituto de Cálculo, FCEN, Universidad de Buenos Aires, Argentina Depto. de Matemática, FCEN, Universidad de Buenos Aires, Argentina Depto. de Ingeniería Industrial, FCFM, Universidad de Chile, Chile Instituto de Ciencias, UNGS, Los Polvorines, Buenos Aires, Argentina Instituto de Matemática e Estatística, UERJ, Rio de Janeiro, Brazil IM, COPPE and NCE, UFRJ, Rio de Janeiro, Brazil
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Palabras clave: | Forbidden subgraphs; Proper interval graphs; Unit interval graphs |
Año: | 2015
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Volumen: | 50
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Página de inicio: | 445
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Página de fin: | 450
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DOI: |
http://dx.doi.org/10.1016/j.endm.2015.07.074 |
Título revista: | Electronic Notes in Discrete Mathematics
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Título revista abreviado: | Electron. Notes Discrete Math.
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ISSN: | 15710653
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v50_n_p445_Duran |
Referencias:
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- Soulignac, F., Bounded, Minimal, and Short Representations of Unit Interval and Unit Circular-arc Graphs, , http://arxiv.org/abs/1207.6960
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Citas:
---------- APA ----------
Durán, G., Fernández Slezak, F., Grippo, L.N., de S. Oliveira, F. & Szwarcfiter, J.
(2015)
. On unit interval graphs with integer endpoints. Electronic Notes in Discrete Mathematics, 50, 445-450.
http://dx.doi.org/10.1016/j.endm.2015.07.074---------- CHICAGO ----------
Durán, G., Fernández Slezak, F., Grippo, L.N., de S. Oliveira, F., Szwarcfiter, J.
"On unit interval graphs with integer endpoints"
. Electronic Notes in Discrete Mathematics 50
(2015) : 445-450.
http://dx.doi.org/10.1016/j.endm.2015.07.074---------- MLA ----------
Durán, G., Fernández Slezak, F., Grippo, L.N., de S. Oliveira, F., Szwarcfiter, J.
"On unit interval graphs with integer endpoints"
. Electronic Notes in Discrete Mathematics, vol. 50, 2015, pp. 445-450.
http://dx.doi.org/10.1016/j.endm.2015.07.074---------- VANCOUVER ----------
Durán, G., Fernández Slezak, F., Grippo, L.N., de S. Oliveira, F., Szwarcfiter, J. On unit interval graphs with integer endpoints. Electron. Notes Discrete Math. 2015;50:445-450.
http://dx.doi.org/10.1016/j.endm.2015.07.074