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135
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ALGORITHMICA
2011
14 years 4 months ago
All-Pairs Bottleneck Paths in Vertex Weighted Graphs
Let G = (V, E, w) be a directed graph, where w : V → R is an arbitrary weight function defined on its vertices. The bottleneck weight, or the capacity, of a path is the smalles...
Asaf Shapira, Raphael Yuster, Uri Zwick
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
14 years 11 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta
99
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STOC
2009
ACM
144views Algorithms» more  STOC 2009»
15 years 10 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
EJC
2011
14 years 4 months ago
Distributive lattices, polyhedra, and generalized flows
A D-polyhedron is a polyhedron P such that if x, y are in P then so are their componentwise max and min. In other words, the point set of a D-polyhedron forms a distributive latti...
Stefan Felsner, Kolja B. Knauer
DIALM
2008
ACM
139views Algorithms» more  DIALM 2008»
14 years 11 months ago
Approximating maximum integral flows in wireless sensor networks via weighted-degree constrained k-flows
We consider the Maximum Integral Flow with Energy Constraints problem: given a directed graph G = (V, E) with edge-weights {w(e) : e E} and node battery capacities {b(v) : v V }...
Zeev Nutov