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A simple minimum T-cut algorithm

✍ Scribed by Romeo Rizzi


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
119 KB
Volume
129
Category
Article
ISSN
0166-218X

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✦ Synopsis


We give a simple algorithm for ΓΏnding a minimum T -cut. At present, all known e cient 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.


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The traditional min-cut problem involves finding a cut with minimum weight between two specified vertices. The planar multiway cut problem is a NP-hard generalization of the min-cut problem. It involves separating a weighted planar graph with k specified vertices into k components such that the tota