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CORR
2011
Springer
173views Education» more  CORR 2011»
14 years 6 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»
15 years 6 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»
15 years 9 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»
15 years 3 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»
16 years 8 days 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