Finding a Feasible Flow in a Strongly Connected Network
Data Structures and Algorithms
2007-12-03 v2
Abstract
We consider the problem of finding a feasible single-commodity flow in a strongly connected network with fixed supplies and demands, provided that the sum of supplies equals the sum of demands and the minimum arc capacity is at least this sum. A fast algorithm for this problem improves the worst-case time bound of the Goldberg-Rao maximum flow method by a constant factor. Erlebach and Hagerup gave an linear-time feasible flow algorithm. We give an arguably simpler one.
Cite
@article{arxiv.0711.2710,
title = {Finding a Feasible Flow in a Strongly Connected Network},
author = {Bernhard Haeupler and Robert E. Tarjan},
journal= {arXiv preprint arXiv:0711.2710},
year = {2007}
}
Comments
4 pages, submitted to Operations Research Letters, minor updates: typos corrected, speed-up = improvement of the worst-case time bound