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

Published 21 Jul 2010 in cs.DM | (1007.3609v2)

Abstract: 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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