Directed Multicut with linearly ordered terminals

Autor: Erbacher, Robert F., Jaeger, Trent, Talele, Nirupama, Teutsch, Jason
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: 12 pages, 1 figure
Databáze: arXiv