A Branch-and-Cut algorithm for graph coloring
نویسندگان
چکیده
منابع مشابه
A Branch-and-Cut algorithm for graph coloring
In a previous work, we proposed a new integer programming formulation for the graph coloring problem which, to a certain extent, avoids symmetry. We studied the facet structure of the 0/1-polytope associated with it. Based on these theoretical results, we present now a Branch-and-Cut algorithm for the graph coloring problem. Our computational experiences compare favorably with the well-known ex...
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We present two new integer programming formulations for the equitable coloring problem. We also propose a primal constructive heuristic, branching strategies, and branch-and-cut algorithms based on each of these two formulations. The computational experiments showed that the results obtained by the new algorithms are far superior to those obtained by previously existing approaches.
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Let G = (V,E,Q) be a undirected graph, where V is the set of vertices, E is the set of edges, and Q = {Q1, . . . , Qq} is a partition of V into q subsets. We refer to Q1, . . . , Qq as the components of the partition. The Partition Coloring Problem (PCP) consists of finding a subset V ′ of V with exactly one vertex from each component Q1, . . . , Qq and such that the chromatic number of the gra...
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An equitable k-coloring of a graph is defined by a partition of its vertices into k disjoint stable subsets, such that the difference between the cardinalities of any two subsets is at most one. The equitable coloring problem consists of finding the minimum value of k such that a given graph can be equitably k-colored. We present two new integer programming formulations based on representatives...
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ژورنال
عنوان ژورنال: Discrete Applied Mathematics
سال: 2006
ISSN: 0166-218X
DOI: 10.1016/j.dam.2005.05.022