Show simple item record

dc.contributor.authorFelsner, Stefan
dc.contributor.authorHuemer, Clemens
dc.contributor.authorSaumell Mendiola, Maria
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II
dc.identifier.citationFelsner, S.; Huemer, C.; Saumell, M. Recoloring directed graphs. A: Encuentros de Geometría Computacional. "XIII Encuentros de Geometría Computacional". Zaragoza: Prensas Universitarias de Zaragoza, 2009, p. 91-97.
dc.description.abstractLet G be a directed graph and k a positive integer. We define the k-color graph of G (Dk(G) for short) as the directed graph having all k-colorings of G as node set, and where two k-colorings and ' are joined by a directed edge ! ' if ' is obtained from by choosing a vertex v and recoloring v so that its color is different from the colors of all its out-neighbors. We investigate reachability questions in Dk(G). In particular we want to know whether a fixed legal k′-coloring of G with k′ k is reachable in Dk(G) from every possible initial k-coloring . Interesting instances of this problem arise when G is planar and the orientation is an arbitrary -orientation for fixed . Our main result is that reachability can be guaranteed if the orientation has maximal out-degree k − 1 and an accessible pseudo-sink.
dc.format.extent7 p.
dc.publisherPrensas Universitarias de Zaragoza
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Spain
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs
dc.subject.lcshGraph theory
dc.titleRecoloring directed graphs
dc.typeConference report
dc.subject.lemacGrafs, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta
dc.rights.accessOpen Access
dc.description.versionPostprint (published version)
local.citation.authorFelsner, S.; Huemer, C.; Saumell, M.
local.citation.contributorEncuentros de Geometría Computacional
local.citation.publicationNameXIII Encuentros de Geometría Computacional

Files in this item


This item appears in the following Collection(s)

Show simple item record

Attribution-NonCommercial-NoDerivs 3.0 Spain
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain