在两倍的最优范围内找到k-cut

[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science Pub Date : 1991-09-01 DOI:10.1109/SFCS.1991.185443

H. Saran, V. Vazirani

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引用次数: 263

摘要

针对最小k割问题，提出了两种简单的近似算法。每个算法都找到一个k-cut，其权重在最优的(2-2/k)因子内。其中一种算法特别高效，总共只需要n-1次最大流量计算就能找到一组接近最优的k-cut，每个k值在2到n.>之间

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Finding k-cuts within twice the optimal

Two simple approximation algorithms are presented for the minimum k-cut problem. Each algorithm finds a k-cut having weight within a factor of (2-2/k) of the optimal. One of the algorithms is particularly efficient, requiring a total of only n-1 maximum flow computations for finding a set of near-optimal k-cuts, one for each value of k between 2 and n.<>

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[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science

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