# A Polylogarithmic Approximation Algorithm for Edge-Disjoint Paths with Congestion 2

@article{Chuzhoy2012APA,
title={A Polylogarithmic Approximation Algorithm for Edge-Disjoint Paths with Congestion 2},
author={Julia Chuzhoy and Shi Li},
journal={ArXiv},
year={2012},
volume={abs/1208.1272}
}
• Published 6 August 2012
• Computer Science, Mathematics
• ArXiv
In the Edge-Disjoint Paths with Congestion problem (\EDPwC), we are given an undirected $n$-vertex graph $G$, a collection $\mset=\set{(s_1, t_1), \ldots, (s_k, t_k)}$ of demand pairs and an integer $c$. The goal is to connect the maximum possible number of the demand pairs by paths, so that the maximum edge congestion - the number of paths sharing any edge - is bounded by $c$. When the maximum allowed congestion is $c=1$, this is the classical Edge-Disjoint Paths problem (\EDP). The best…
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