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A simple minimum T-cut algorithm

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Abstract

We give a simple algorithm for finding a minimum T-cut. At present, all known efficient algorithms for this problem go through the computation of a Gomory–Hu tree. While our algorithm bases on the same fundamental properties of uncrossing as the previous methods, still it provides an ad hoc solution. This solution is easier to implement and faster to run. Our results extend to the whole of symmetric submodular functions.

Keywords

T-cut
Minimum T-cut
T-pairing
Gomory–Hu tree

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1

Research carried out with financial support of the project TMR-DONET nr. ERB FMRX-CT98-0202 of the European Community.