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arXiv · 0902.1047

A Polynomial Kernel For Multicut In Trees

Nicolas Bousquet·Jean Daligault·Stephan Thomasse·Anders Yeo
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Abstract

The MULTICUT IN TREES problem consists in deciding, given a tree, a set of requests (i.e. paths in the tree) and an integer k, whether there exists a set of k edges cutting all the requests. This problem was shown to be FPT by Guo and Niedermeyer. They also provided an exponential kernel. They asked whether this problem has a polynomial kernel. This question was also raised by Fellows. We show that MULTICUT IN TREES has a polynomial kernel.

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Nicolas Bousquet, Jean Daligault, Stephan Thomasse, Anders Yeo. 2009-02-06. A Polynomial Kernel For Multicut In Trees. https://arxiv.org/abs/0902.1047

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