Optimality of DSatur algorithm on chordal graphs

IF 0.8 4区管理学 Q4 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

Operations Research Letters Pub Date : 2024-09-30 DOI:10.1016/j.orl.2024.107185

N. Yekezare , M. Zohrehbandian , M. Maghasedi , F. Bonomo-Braberman

引用次数: 0

Abstract

DSatur is a widely-used heuristic algorithm for graph coloring, proposed by Daniel Brélaz in 1979. It is based on the greedy coloring approach, but selecting the next vertex to be colored from those that maximize the number of colors already used by their neighbors. Though not always optimal, this algorithm is known to be optimal on certain families, like cycles or bipartite graphs. In this paper, we prove the optimality of DSatur on chordal graphs, a superclass of interval graphs.

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弦图上 DSatur 算法的最优性

DSatur 是一种广泛使用的图着色启发式算法，由 Daniel Brélaz 于 1979 年提出。它基于贪婪着色法，但要从那些能最大化其邻居已用颜色数的顶点中选择下一个着色顶点。虽然这种算法并不总是最优的，但已知它在某些族上是最优的，比如循环图或双叉图。在本文中，我们将证明 DSatur 在和弦图（一种超类的区间图）上的最优性。

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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来源期刊

Operations Research Letters 管理科学-运筹学与管理科学

CiteScore

2.10

自引率

9.10%

发文量

111

审稿时长

83 days

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