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Issue RAIRO Oper. Res.
Volume 37, Number 1, January-March 2003
Page(s) 29 - 66
DOI 10.1051/ro:2003013

RAIRO Oper. Res. 37 (2003) 29-66
DOI: 10.1051/ro:2003013

Coloration de graphes : fondements et applications

Dominique de Werra1 and Daniel Kobler2

1  IMA FSB, École Polytechnique Fédérale de Lausanne, 1015 Lausanne, Suisse; dewerra.ima@epfl.ch.
2  Tm Bioscience, 439 University Ave. Ste. 1100, Toronto (Ontario) M5G 1Y8, Canada; dkobler@tmbioscience.com.

(Received December, 2002.)

Abstract
The classical colouring models are well known thanks in large part to their applications to scheduling type problems; we describe the basic concepts of colourings together with a number of variations and generalisations arising from scheduling problems such as the creation of school schedules. Some exact and heuristic algorithms will be presented, and we will sketch solution methods based on tabu search to find approximate solutions to large problems. Finally we will also mention the use of colourings for creating schedules in sports leagues and for computer file transfer problems. This paper is an extended version of [37].

Résumé
Les modèles classiques de coloration doivent leur notoriété en grande partie à leurs applications à des problèmes de type emploi du temps ; nous présentons les concepts de base des colorations ainsi qu'une série de variations et de généralisations motivées par divers problèmes d'ordonnancement dont les élaborations d'horaires scolaires. Quelques algorithmes exacts et heuristiques seront présentés et nous esquisserons des méthodes basées sur la recherche Tabou pour trouver des solutions approchées pour des problèmes de grande taille. Enfin nous mentionnons l'application des colorations à la confection de calendriers de ligues de sport et à des problèmes de transferts de fichiers informatiques. Ce texte est une version étendue de [37].



© EDP Sciences 2003


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