Multiple-Source Multiple-Sink Maximum Flow in Directed Planar Graphs in Near-Linear Time

G. Borradaile, P. Klein, S. Mozes, Yahav Nussbaum, Christian Wulff-Nilsen
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引用次数: 98

Abstract

We give an O(n log3 n) algorithm that, given an n-node directed planar graph with arc capacities, a set of source nodes, and a set of sink nodes, finds a maximum flow from the sources to the sinks. Previously, the fastest algorithms known for this problem were those for general graphs.
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近线性时间下多源多汇有向平面图中的最大流量
我们给出了一个O(n log3n)算法,该算法给定一个有n个节点的有向平面图,一组源节点和一组汇聚节点,找到从源到汇聚的最大流量。以前,已知解决这个问题最快的算法是一般图的算法。
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