Multiple-Source Single-Sink Maximum Flow in Directed Planar Graphs in O(diameter*n*log(n)) Time

Computer Science – Discrete Mathematics

Scientific paper

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proofs included. preliminary version to appear in WADS 2011

Scientific paper

We develop a new technique for computing maximum flow in directed planar
graphs with multiple sources and a single sink that significantly deviates from
previously known techniques for flow problems. This gives rise to an
O(diameter*n*log(n)) algorithm for the problem.

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