图的分数色数的平行拉格朗日启发式

RAIRO Oper. Res. Pub Date : 2023-05-03 DOI:10.1051/ro/2023062

P. Araújo, Ricardo C. Corrêa, Manoel B. Campêlo

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引用次数: 0

摘要

针对分数阶色数问题，提出了一个新的整数规划公式。该公式基于稳定集的代表。此外，我们还利用该公式的拉格朗日松弛给出了一个拉格朗日启发式，从而得到了该问题的一个很好的可行解。给出了计算实验来评估和比较我们的方法提供的上界和下界。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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A parallel lagrangian heuristic for the fractional chromatic number of a graph

We propose a new integer programming formulation for the Fractional Chromatic Number Problem. The formulation is based on representatives of stable sets. In addition, we present a Lagrangian heuristic from a Lagrangian relaxation of this formulation to obtain a good feasible solution for the problem. Computational experiments are presented to evaluate and compare the upper and lower bounds provided by our approach.

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RAIRO Oper. Res.

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