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 |
Externí odkaz: |