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Improvements to the Helpful-Set Algorithm and a New Evaluation Scheme for Graph-Partitioners

机译:改进乐于识别的算法和图形分区的新评估方案

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Graph partitioning is an important subproblem in many applications. To solve it efficiently, the multilevel strategy in combination with a matching algorithm and a local refinement heuristic has proven to be a powerful method, and several libraries exist providing such an implementation. Due to the large involvement of heuristics, the evaluation of these libraries is usually based on experiments. In this paper we show that single experiments are usually not sufficient to judge the quality of an algorithm, since even results obtained for graphs of and identical structure show high variations. This is still true, even if the applied algorithms do not contain any nondeterminism. We propose a scheme that considers these variations and therefore makes evaluations and comparisons of different implementations more meaningful. We have applied this technique to evaluate the improvements of the Helpful-Set 2-partitioning implementation and present the obtained results.
机译:图形分区是许多应用程序中的重要子项本。为了有效地解决它,多级策略与匹配算法和本地细化启发式的组合已被证明是一种强大的方法,并且存在几个库提供了这样的实现。由于启发式的较大程度,这些文库的评估通常基于实验。在本文中,我们表明单一实验通常不足以判断算法的质量,因为甚至对于且相同结构的图表获得的结果显示出高变化。即使应用算法不包含任何非法确定,这仍然是真的。我们提出了一种考虑这些变化的计划,从而使不同实现的评估和比较更有意义。我们已经应用了这种技术来评估有用设置的2分区实现的改进并呈现了所获得的结果。

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