# Greedy Edge-Disjoint Paths in Complete Graphs

@inproceedings{Carmi2003GreedyEP,
title={Greedy Edge-Disjoint Paths in Complete Graphs},
author={Paz Carmi and Thomas Wilhelm Erlebach and Yoshio Okamoto},
booktitle={WG},
year={2003}
}
• Published in WG 19 June 2003
• Computer Science, Mathematics
The maximum edge-disjoint paths problem (MEDP) is one of the most classical NP-hard problems. We study the approximation ratio of a simple and practical approximation algorithm, the shortest-path-first greedy algorithm (SGA), for MEDP in complete graphs. Previously, it was known that this ratio is at most 54. Adapting results by Kolman and Scheideler [Proceedings of SODA, 2002, pp. 184–193], we show that SGA achieves approximation ratio 8F+1 for MEDP in undirected graphs with flow number F and…

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