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Exact cuts in networks

โœ Scribed by J. Scott Provan; V. G. Kulkarni


Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
455 KB
Volume
19
Category
Article
ISSN
0028-3045

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The overall min-cut problem in a capacitated undirected network is well known. Recently Stoer and Wagner gave an elegant algorithm for finding such a cut. In this paper we present a parametric analysis of such a cut where the capacity of an arc {i, j } in the network is given by min{b ij , ฮป}, where

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Algorithms are presented for the all-pairs min-cut problem in bounded treewidth, planar, and sparse networks. The approach used is to preprocess the input n-vertex network so that afterward, the value of a min-cut between any two vertices can be efficiently computed. A tradeoff is shown between the