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CORR
2011
Springer
173views Education» more  CORR 2011»
12 years 11 months ago
Multiple-Source Single-Sink Maximum Flow in Directed Planar Graphs in O(diameter*n*log(n)) Time
We develop a new technique for computing maximum flow in directed planar graphs with multiple sources and a single sink that significantly deviates from previously known techniqu...
Philip N. Klein, Shay Mozes
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
13 years 11 months ago
Maximum Flow in Directed Planar Graphs with Vertex Capacities
In this paper we present an O(n log n) algorithm for finding a maximum flow in a directed planar graph, where the vertices are subject to capacity constraints, in addition to the...
Haim Kaplan, Yahav Nussbaum
SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 2 months ago
Maximum Flows and Parametric Shortest Paths in Planar Graphs
We observe that the classical maximum flow problem in any directed planar graph G can be reformulated as a parametric shortest path problem in the oriented dual graph G . This ref...
Jeff Erickson
CIAC
2010
Springer
246views Algorithms» more  CIAC 2010»
13 years 8 months ago
Capacitated Confluent Flows: Complexity and Algorithms
A flow on a directed network is said to be confluent if the flow uses at most one outgoing arc at each node. Confluent flows arise naturally from destination-based routing. We stud...
Daniel Dressler and Martin Strehler
STOC
2009
ACM
144views Algorithms» more  STOC 2009»
14 years 5 months ago
Homology flows, cohomology cuts
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...
Erin W. Chambers, Jeff Erickson, Amir Nayyeri