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arXiv · 1407.7498

Directed Multicut with linearly ordered terminals

Robert F. Erbacher·Trent Jaeger·Nirupama Talele·Jason Teutsch
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Abstract

Motivated by an application in network security, we investigate the following "linear" case of Directed Mutlicut. Let $G$ be a directed graph which includes some distinguished vertices $t_1, \ldots, t_k$. What is the size of the smallest edge cut which eliminates all paths from $t_i$ to $t_j$ for all $i < j$? We show that this problem is fixed-parameter tractable when parametrized in the cutset size $p$ via an algorithm running in $O(4^p p n^4)$ time.

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Robert F. Erbacher, Trent Jaeger, Nirupama Talele, Jason Teutsch. 2014-07-28. Directed Multicut with linearly ordered terminals. https://arxiv.org/abs/1407.7498

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