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Engineering Graph Partitioning Algorithms

机译:工程图分割算法

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The paper gives an overview of our recent work on balanced graph partitioning - partition the nodes of a graph into k blocks such that all blocks have approximately equal size and such that the number of cut edges is small. This problem has numerous applications for example in parallel processing. We report on a scalable parallelization and a number of improvements on the classical multilevel approach which leads to improved partitioning quality. This includes an integration of flow methods, improved local search, several improved coarsening schemes, repeated runs similar to the approaches used in multigrid solvers, and an integration into a distributed evolutionary algorithm. Overall this leads to a system that for many common benchmarks leads to both the best quality solution known and favorable tradeoffs between running time and solution quality.
机译:本文概述了我们最近在平衡图划分上的工作-将图的节点划分为k个块,以使所有块的大小近似相等,并且切边的数量很小。这个问题在并行处理中有许多应用。我们报告了可伸缩的并行化以及对经典多级方法的许多改进,这些改进导致了分区质量的提高。这包括流方法的集成,改进的局部搜索,几种改进的粗化方案,类似于多网格求解器中使用的方法的重复运行以及与分布式进化算法的集成。总体而言,这导致了一个系统,对于许多通用基准而言,该系统导致已知的最佳质量解决方案以及运行时间与解决方案质量之间的有利折衷。

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