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Lower Bound for (Sum) Coloring Problem

Abstract : The Minimum Sum Coloring Problem is a variant of the Graph Vertex Coloring Problem, for which each color has a weight. This paper presents a new way to find a lower bound of this problem, based on a relaxation into an integer partition problem with additional constraints. We improve the lower bound for 18 graphs of standard benchmark DIMACS, and prove the optimal value for 4 graphs by reaching their known upper bound.
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https://hal.archives-ouvertes.fr/hal-02291389
Contributor : Alexandre Gondran Connect in order to contact the contributor
Submitted on : Thursday, September 19, 2019 - 12:08:37 PM
Last modification on : Wednesday, November 3, 2021 - 5:38:21 AM
Long-term archiving on: : Sunday, February 9, 2020 - 12:02:58 AM

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  • HAL Id : hal-02291389, version 1
  • ARXIV : 1909.08906

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Alexandre Gondran, Vincent Duchamp, Laurent Moalic. Lower Bound for (Sum) Coloring Problem. 2019. ⟨hal-02291389⟩

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