English

Multiple-source single-sink maximum flow in directed planar graphs in $O(n^{1.5} \log n)$ time

Data Structures and Algorithms 2010-09-15 v2 Discrete Mathematics

Abstract

We give an O(n1.5logn)O(n^{1.5} \log n) algorithm that, given a directed planar graph with arc capacities, a set of source nodes and a single sink node, finds a maximum flow from the sources to the sink . This is the first subquadratic-time strongly polynomial algorithm for the problem.

Keywords

Cite

@article{arxiv.1008.5332,
  title  = {Multiple-source single-sink maximum flow in directed planar graphs in $O(n^{1.5} \log n)$ time},
  author = {Philip N. Klein and Shay Mozes},
  journal= {arXiv preprint arXiv:1008.5332},
  year   = {2010}
}

Comments

13 pages, 2 figures. Corrected spelling in one citation

R2 v1 2026-06-21T16:07:32.188Z