Displaying similar documents to “ k -colour partitions of acyclic tournaments.”

Acyclic orientations with path constraints

Rosa M. V. Figueiredo, Valmir C. Barbosa, Nelson Maculan, Cid C. de Souza (2008)

RAIRO - Operations Research - Recherche Opérationnelle

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Many well-known combinatorial optimization problems can be stated over the set of acyclic orientations of an undirected graph. For example, acyclic orientations with certain diameter constraints are closely related to the optimal solutions of the vertex coloring and frequency assignment problems. In this paper we introduce a linear programming formulation of acyclic orientations with path constraints, and discuss its use in the solution of the vertex coloring problem and some versions...

Multiple routing strategies in a labelled network

J. Maublanc, D. Peyrton, A. Quilliot (2001)

RAIRO - Operations Research - Recherche Opérationnelle

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We present here models and algorithms for the construction of efficient path systems, robust to possible variations of the characteristics of the network. We propose some interpretations of these models and proceed to numerical experimentations of the related algorithms. We conclude with a discussion of the way those concepts may be applied to the design of a Public Transportation System.

The arc-width of a graph.

Barát, János, Hajnal, Péter (2001)

The Electronic Journal of Combinatorics [electronic only]

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