A branch-and-price algorithm for the robust graph coloring problem

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A branch-and-price algorithm for the robust graph coloring problem

Given a graph G, an integer k, and a cost cuv associated with all pairs uv of non-adjacent vertices in G, the robust graph coloring problem is to assign a color in {1, · · · , k} to every vertex of G so that no edge has both endpoints with the same color, and the total cost of the pairs of vertices having the same color is minimum. We propose a branch and price algorithm for the solution of thi...

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15 صفحه اول

A Branch-and-Price Approach for Graph Multi-Coloring

We present a branch-and-price framework for solving the graph multicoloring problem. We propose column generation to implicitly optimize the linear programming relaxation of an independent set formulation (where there is one variable for each independent set in the graph) for graph multi-coloring. This approach, while requiring the solution of a difficult subproblem, is a promising method to ob...

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ژورنال

عنوان ژورنال: Discrete Applied Mathematics

سال: 2014

ISSN: 0166-218X

DOI: 10.1016/j.dam.2013.02.013