UnivTrevesV1, PascalFrancis, Curation, bibRecord, 001607

Generalized coloring for tree-like graphs

Identifieur interne : 001607 ( PascalFrancis/Curation ); précédent : 001606; suivant : 001608

Generalized coloring for tree-like graphs

Auteurs : K. Jansen [Allemagne] ; P. Scheffler [Allemagne]

Source :

Discrete applied mathematics [ 0166-218X ] ; 1997.

RBID : Pascal:97-0348288

Descripteurs français

Pascal (Inist)
- Problème NP complet, Algorithme, Temps polynomial, Temps linéaire, Complexité calcul, Arbre graphe, Coloration graphe.

English descriptors

KwdEn :
- Algorithm, Computational complexity, Graph colouring, Linear time, NP complete problem, Polynomial time, Tree(graph).

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.

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C01	`01`		`ENG`	@0 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.
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C03	`05`	`X`	`SPA`	`@0 Complejidad computación @5 05`
C03	`06`	`X`	`FRE`	`@0 Arbre graphe @5 06`
C03	`06`	`X`	`ENG`	`@0 Tree(graph) @5 06`
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C03	`07`	`X`	`FRE`	`@0 Coloration graphe @5 07`
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C03	`07`	`X`	`SPA`	`@0 Coloración grafo @5 07`
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Generalized coloring for tree-like graphs

Generalized coloring for tree-like graphs

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Descripteurs français

English descriptors

Abstract

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