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An evolutionary approach with diversity guarantee and well-informed grouping recombination for graph coloring

机译:一种具有多样性保证和信息良好的分组重组的进化方法,用于图着色

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摘要

We present a diversity-oriented hybrid evolutionary approach for the graph coloring problem. This approach is based on both generally applicable strategies and specifically tailored techniques. Particular attention is paid to ensuring population diversity by carefully controlling spacing among individuals. Using a distance measure between potential solutions, the general population management strategy decides whether an offspring should be accepted in the population, which individual needs to be replaced and when mutation is applied. Furthermore, we introduce a special grouping-based multi-parent crossover operator which relies on several relevant features to identify meaningful building blocks for offspring construction. The proposed approach can be generally characterized as “well-informed”, in the sense that the design of each component is based on the most pertinent information which is identified by both experimental observation and careful analysis of the given problem. The resulting algorithm proves to be highly competitive when it is applied on the whole set of the DIMACS benchmark graphs.
机译:我们提出了一种针对图着色问题的面向多样性的混合进化方法。该方法基于普遍适用的策略和专门定制的技术。特别注意通过谨慎地控制个体之间的间隔来确保种群多样性。通过使用潜在解决方案之间的距离度量,总体种群管理策略可以决定是否应在种群中接受后代,需要替换哪个个体以及何时应用突变。此外,我们引入了一种特殊的基于分组的多亲交叉算子,该算子依赖于几个相关功能来识别有意义的后代构建基块。从每个组件的设计都基于最相关的信息的意义上来说,所提出的方法通常可以被描述为“信息灵通”,该信息是通过实验观察和对给定问题的仔细分析而确定的。当将结果算法应用于整套DIMACS基准图时,证明具有很高的竞争力。

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