Recognition and characterization of unit interval graphs with integer endpoints
Author
dc.contributor.author
Durán, G.
Author
dc.contributor.author
Fernández Slezak, F.
Author
dc.contributor.author
Grippo, L. N.
Author
dc.contributor.author
Oliveira, F. de S.
Author
dc.contributor.author
Szwarcfiter, J. L.
Admission date
dc.date.accessioned
2018-11-26T19:42:14Z
Available date
dc.date.available
2018-11-26T19:42:14Z
Publication date
dc.date.issued
2018-08-20
Cita de ítem
dc.identifier.citation
Discrete Applied Mathematics Volumen: 245 Páginas: 168-176 Número especial: SI
es_ES
Identifier
dc.identifier.other
10.1016/j.dam.2017.04.013
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/152907
Abstract
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We study those unit interval graphs having a model with intervals of integer endpoints and prescribed length. We present a structural result for this graph subclass which leads to a quadratic-time recognition algorithm, giving as positive certificate a model of minimum total length and as negative certificate a forbidden induced subgraph. We also present a quadratic-time algorithm to build, given a unit interval graph, a unit interval model with integer endpoints for which the interval length is as minimum as possible. (C) 2017 Elsevier B.V. All rights reserved.
es_ES
Patrocinador
dc.description.sponsorship
Complex Engineering Systems Institute, Chile
CONICYT - PIA - FB0816; ICM P-05-004-F
ANPCyT
PICT-2012-1324
UBACyT (Argentina)
20020130100808BA
PIO CONICET
UNGS-144-20140100011-CO
FAPERJ
CNPq
CAPES