A fast maximum flow algorithm
Abstract
In 2013, Orlin proved that the max flow problem could be solved in O(nm) time. His algorithm ran in O(nm + m1.94) time, which was the fastest for graphs with fewer than n1.06 arcs. If the graph was not sufficiently sparse, the fastest running time was an algorithm due to King, Rao, and Tarjan. We describe a new variant of the excess scaling algorithm for the max flow problem whose running time strictly dominates the running time of the algorithm by King et al. For graphs in which m = O(nlog n), the running time of our algorithm dominates that of King et al. by a factor of O(loglog n). Moreover, our algorithm achieves this improved performance without reliance on dynamic trees.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Nov 26, 2020
- Source ID
- 10.1002/net.22001
Entities
People
- James B. Orlin
- Xiao‐yue Gong
Organizations
- Massachusetts Institute of Technology
- Office of Naval Research