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Routing with Congestion in Acyclic Digraphs by Amiri, Saeed Akhoondian; Kreutzer, Stephan; Marx, Dániel; Rabinovich, Roman is a scholarly article available to read on EtoBox.

What is Routing with Congestion in Acyclic Digraphs about?

We study the version of the $k$-disjoint paths problem where $k$ demand pairs $(s_1,t_1)$, $\dots$, $(s_k,t_k)$ are specified in the input and the paths in the solution are allowed to intersect, but such that no vertex is on more than $c$ paths. We show that on directed acyclic graphs the problem is solvable in time $n^{O(d)}$ if we allow congestion $k-d$ for $k$ paths. Furthermore, we show that, under a suitable complexity theoretic assumption, the problem cannot be solved in time $f(k)n^{o(d/\log d)}$ for any computable function $f$.

Author

Amiri, Saeed Akhoondian; Kreutzer, Stephan; Marx, Dániel; Rabinovich, Roman

Published

2016

Language

EN