Generalized coloring for tree-like graphs
Identifieur interne : 002A34 ( Main/Merge ); précédent : 002A33; suivant : 002A35Generalized coloring for tree-like graphs
Auteurs : K. Jansen [Allemagne] ; P. Scheffler [Allemagne]Source :
- Discrete applied mathematics [ 0166-218X ] ; 1997.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
Abstract
Copyright (c) 1997 Elsevier Science B.V. All rights reserved. We discuss the PRECOLORING EXTENSION (PREXT) and the LIST COLORING (LICOL) problems for trees, partial k-trees and cographs in the decision and the construction versions. Both problems for partial k-trees are solved in linear time when the number of colors is bounded by a constant and in polynomial time for an unbounded number of colors. For trees, we improve this to linear time. In contrast to that, the two problems differ in complexity for cographs. While PREXT has a linear-time decision algorithm, LICOL is shown to be NP-complete. We give polynomial-time algorithms for the corresponding enumeration problems #PREXT and #LICOL on partial k-trees and trees and for #PREXT on cographs.
Links toward previous steps (curation, corpus...)
- to stream PascalFrancis, to step Corpus: 001385
- to stream PascalFrancis, to step Curation: 001607
- to stream PascalFrancis, to step Checkpoint: 001052
Links to Exploration step
Pascal:97-0348288Le document en format XML
<record><TEI><teiHeader><fileDesc><titleStmt><title xml:lang="en" level="a">Generalized coloring for tree-like graphs</title><author><name sortKey="Jansen, K" sort="Jansen, K" uniqKey="Jansen K" first="K." last="Jansen">K. Jansen</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>FB IV - Mathematik und Informatik, Universität Trier, Postfach 38 25</s1><s2>D-54286 Trier</s2><s3>DEU</s3><sZ>1 aut.</sZ></inist:fA14><country>Allemagne</country><wicri:noRegion>54286 Trier</wicri:noRegion><wicri:noRegion>Postfach 38 25</wicri:noRegion><wicri:noRegion>D-54286 Trier</wicri:noRegion></affiliation></author><author><name sortKey="Scheffler, P" sort="Scheffler, P" uniqKey="Scheffler P" first="P." last="Scheffler">P. Scheffler</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Fachbereich Wirtschaft, Fachhochschule Stralsund, Groe Parower Strae 145</s1><s2>D-18435 Stralsund</s2><s3>DEU</s3><sZ>2 aut.</sZ></inist:fA14><country>Allemagne</country><wicri:noRegion>18435 Stralsund</wicri:noRegion><wicri:noRegion>Groe Parower Strae 145</wicri:noRegion><wicri:noRegion>D-18435 Stralsund</wicri:noRegion></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">INIST</idno><idno type="inist">97-0348288</idno><date when="1997">1997</date><idno type="stanalyst">PASCAL 97-0348288 Elsevier</idno><idno type="RBID">Pascal:97-0348288</idno><idno type="wicri:Area/PascalFrancis/Corpus">001385</idno><idno type="wicri:Area/PascalFrancis/Curation">001607</idno><idno type="wicri:Area/PascalFrancis/Checkpoint">001052</idno><idno type="wicri:explorRef" wicri:stream="PascalFrancis" wicri:step="Checkpoint">001052</idno><idno type="wicri:doubleKey">0166-218X:1997:Jansen K:generalized:coloring:for</idno><idno type="wicri:Area/Main/Merge">002A34</idno></publicationStmt><sourceDesc><biblStruct><analytic><title xml:lang="en" level="a">Generalized coloring for tree-like graphs</title><author><name sortKey="Jansen, K" sort="Jansen, K" uniqKey="Jansen K" first="K." last="Jansen">K. Jansen</name><affiliation wicri:level="1"><inist:fA14 i1="01"><s1>FB IV - Mathematik und Informatik, Universität Trier, Postfach 38 25</s1><s2>D-54286 Trier</s2><s3>DEU</s3><sZ>1 aut.</sZ></inist:fA14><country>Allemagne</country><wicri:noRegion>54286 Trier</wicri:noRegion><wicri:noRegion>Postfach 38 25</wicri:noRegion><wicri:noRegion>D-54286 Trier</wicri:noRegion></affiliation></author><author><name sortKey="Scheffler, P" sort="Scheffler, P" uniqKey="Scheffler P" first="P." last="Scheffler">P. Scheffler</name><affiliation wicri:level="1"><inist:fA14 i1="02"><s1>Fachbereich Wirtschaft, Fachhochschule Stralsund, Groe Parower Strae 145</s1><s2>D-18435 Stralsund</s2><s3>DEU</s3><sZ>2 aut.</sZ></inist:fA14><country>Allemagne</country><wicri:noRegion>18435 Stralsund</wicri:noRegion><wicri:noRegion>Groe Parower Strae 145</wicri:noRegion><wicri:noRegion>D-18435 Stralsund</wicri:noRegion></affiliation></author></analytic><series><title level="j" type="main">Discrete applied mathematics</title><title level="j" type="abbreviated">Discrete appl. math.</title><idno type="ISSN">0166-218X</idno><imprint><date when="1997">1997</date></imprint></series></biblStruct></sourceDesc><seriesStmt><title level="j" type="main">Discrete applied mathematics</title><title level="j" type="abbreviated">Discrete appl. math.</title><idno type="ISSN">0166-218X</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="KwdEn" xml:lang="en"><term>Algorithm</term><term>Computational complexity</term><term>Graph colouring</term><term>Linear time</term><term>NP complete problem</term><term>Polynomial time</term><term>Tree(graph)</term></keywords><keywords scheme="Pascal" xml:lang="fr"><term>Problème NP complet</term><term>Algorithme</term><term>Temps polynomial</term><term>Temps linéaire</term><term>Complexité calcul</term><term>Arbre graphe</term><term>Coloration graphe</term></keywords></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Copyright (c) 1997 Elsevier Science B.V. All rights reserved. We discuss the PRECOLORING EXTENSION (PREXT) and the LIST COLORING (LICOL) problems for trees, partial k-trees and cographs in the decision and the construction versions. Both problems for partial k-trees are solved in linear time when the number of colors is bounded by a constant and in polynomial time for an unbounded number of colors. For trees, we improve this to linear time. In contrast to that, the two problems differ in complexity for cographs. While PREXT has a linear-time decision algorithm, LICOL is shown to be NP-complete. We give polynomial-time algorithms for the corresponding enumeration problems #PREXT and #LICOL on partial k-trees and trees and for #PREXT on cographs.</div></front></TEI><affiliations><list><country><li>Allemagne</li></country></list><tree><country name="Allemagne"><noRegion><name sortKey="Jansen, K" sort="Jansen, K" uniqKey="Jansen K" first="K." last="Jansen">K. Jansen</name></noRegion><name sortKey="Scheffler, P" sort="Scheffler, P" uniqKey="Scheffler P" first="P." last="Scheffler">P. Scheffler</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Main/Merge
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002A34 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Merge/biblio.hfd -nk 002A34 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Rhénanie
|area= UnivTrevesV1
|flux= Main
|étape= Merge
|type= RBID
|clé= Pascal:97-0348288
|texte= Generalized coloring for tree-like graphs
}}
| This area was generated with Dilib version V0.6.31. |  |