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Coloration de graphes: fondements et applications. (French) Zbl 1062.90026
Summary: 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 D. de Werra and D. Kobler, Coloration et ordonnencement chromatique, ORWP 00/04, Ecole Polytechnique Fédérale de Lausanne (2000).

90B35Scheduling theory, deterministic
05C15Coloring of graphs and hypergraphs