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arxiv: 1007.3609 · v2 · pith:WD3RVAIPnew · submitted 2010-07-21 · 💻 cs.DM

Min st-Cut of a Planar Graph in O(n loglog n) Time

classification 💻 cs.DM
keywords timegivengraphloglogplanarst-cutbestbound
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Given a planar undirected n-vertex graph G with non-negative edge weights, we show how to compute, for given vertices s and t in G, a min st-cut in G in O(n loglog n) time and O(n) space. The previous best time bound was O(n log n).

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