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arXiv cs/0309038cs.NE
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最大独立集问题的一种新的进化形式

A novel evolutionary formulation of the maximum independent set problem

V. C. Barbosa, L. C. D. Campos

摘要:

我们介绍了一种新的进化制定的问题,找到一个最大的独立集的图。新的提法是基于图的独立数和它的非循环方向之间存在的关系。它将这些方向视为个体,并借助非常依赖于图的结构及其非循环方向的进化算子来进化它们。由此产生的启发式已经过测试的一些第二DIMACS实施挑战基准图,并已被发现是有竞争力的相比,其他几个也已经在这些图上测试的算法。

英文摘要:

We introduce a novel evolutionary formulation of the problem of finding a maximum independent set of a graph. The new formulation is based on the relationship that exists between a graph's independence number and its acyclic orientations. It views such orientations as individuals and evolves them with the aid of evolutionary operators that are very heavily based on the structure of the graph and its acyclic orientations. The resulting heuristic has been tested on some of the Second DIMACS Implementation Challenge benchmark graphs, and has been found to be competitive when compared to several of the other heuristics that have also been tested on those graphs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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