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» A Genetic Algorithm Applied to the Maximum Flow Problem
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SODA
2010
ACM
205views Algorithms» more  SODA 2010»
14 years 4 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
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
14 years 2 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
CIAC
2010
Springer
246views Algorithms» more  CIAC 2010»
13 years 11 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
ALGORITHMICA
2006
160views more  ALGORITHMICA 2006»
13 years 7 months ago
Combinatorial Algorithms for the Unsplittable Flow Problem
We provide combinatorial algorithms for the unsplittable flow problem (UFP) that either match or improve the previously best results. In the UFP we are given a (possibly directed)...
Yossi Azar, Oded Regev
CORR
2011
Springer
173views Education» more  CORR 2011»
13 years 2 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