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Inapproximability of Edge-Disjoint Paths and low congestion routing on undirected graphs
Authors:Matthew Andrews  Julia Chuzhoy  Venkatesan Guruswami  Sanjeev Khanna  Kunal Talwar  Lisa Zhang
Institution:1. Bell Laboratories, Lucent Technologies, Murray Hill, NJ, USA
2. Toyota Technological Institute, Chicago, IL, 60637, USA
3. Computer Science Department, Carnegie Mellon University, Pittsburgh, PA, 15213, USA
4. Dept. of Computer and Information Science, University of Pennsylvania, Philadelphia, PA, 19104, USA
5. Microsoft Research, Silicon Valley Campus, Mountain View, CA, 94043, USA
Abstract:In the undirected Edge-Disjoint Paths problem with Congestion (EDPwC), we are given an undirected graph with V nodes, a set of terminal pairs and an integer c. The objective is to route as many terminal pairs as possible, subject to the constraint that at most c demands can be routed through any edge in the graph. When c = 1, the problem is simply referred to as the Edge-Disjoint Paths (EDP) problem. In this paper, we study the hardness of EDPwC in undirected graphs.
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