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NETWORKS
2006
14 years 11 months ago
The multiroute maximum flow problem revisited
We are given a directed network G = (V, A, u) with vertex set V , arc set A, a source vertex s V , a destination vertex t V , a finite capacity vector u = {uij}ijA, and a positi...
Donglei Du, R. Chandrasekaran
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
STOC
2007
ACM
164views Algorithms» more  STOC 2007»
15 years 12 months ago
All-pairs bottleneck paths for general graphs in truly sub-cubic time
In the all-pairs bottleneck paths (APBP) problem (a.k.a. allpairs maximum capacity paths), one is given a directed graph with real non-negative capacities on its edges and is aske...
Virginia Vassilevska, Ryan Williams, Raphael Yuste...
JGO
2010
115views more  JGO 2010»
14 years 10 months ago
Maximum flows and minimum cuts in the plane
A continuous maximum flow problem finds the largest t such that div v = t F(x, y) is possible with a capacity constraint (v1, v2) ≤ c(x, y). The dual problem finds a minimum ...
Gilbert Strang
FOCS
2004
IEEE
15 years 3 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd