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Faster approximation schemes for fractional multicommodity flow problems
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Source Symposium on Discrete Algorithms archive
Proceedings of the thirteenth annual ACM-SIAM symposium on Discrete algorithms table of contents
San Francisco, California
Pages: 166 - 173  
Year of Publication: 2002
ISBN:0-89871-513-X
Author
George Karakostas  Telcordia Technologies Inc., Morristown, NJ
Sponsor
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
Society for Industrial and Applied Mathematics  Philadelphia, PA, USA
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Downloads (6 Weeks): 3,   Downloads (12 Months): 29,   Citation Count: 9
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ABSTRACT

We present fully polynomial approximation schemes for concurrent multicommodity flow problems that run in time independent of the number of commodities k. We show that by modifying the algorithms by Garg & Könemann [5] and Fleischer [3] we can reduce their running time to a logarithmic dependence on k, and essentially match the running time of [3] for the maximum multicommodity flow problem.


REFERENCES

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M. D. Grigoriadis and L. G. Khachiyan. Fast approximation schemes for convex programs with many blocks and coupling constraints. SIAM Journal on Optimization, 4:86-107, 1994.
 
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N. Linial, E. London, and Y. Rabinovich. The geometry of graphs and some of its algorithmic applications. Combinatorica, 15:215-246, 1995.
 
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CITED BY  9