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» Length-bounded cuts and flows
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2005
Springer
13 years 10 months ago
Length-Bounded and Dynamic k-Splittable Flows
Maren Martens, Martin Skutella
JCT
2011
78views more  JCT 2011»
12 years 11 months ago
The Max-Flow Min-Cut theorem for countable networks
We prove a strong version of the the Max-Flow Min-Cut theorem for countable networks, namely that in every such network there exist a flow and a cut that are “orthogonal” to e...
Ron Aharoni, Eli Berger, Agelos Georgakopoulos, Am...
SIAMCOMP
1998
176views more  SIAMCOMP 1998»
13 years 4 months ago
An O(log k) Approximate Min-Cut Max-Flow Theorem and Approximation Algorithm
It is shown that the minimum cut ratio is within a factor of O(log k) of the maximum concurrent flow for k-commodity flow instances with arbitrary capacities and demands. This im...
Yonatan Aumann, Yuval Rabani
SODA
2012
ACM
205views Algorithms» more  SODA 2012»
11 years 7 months ago
Approximate duality of multicommodity multiroute flows and cuts: single source case
Given an integer h, a graph G = (V, E) with arbitrary positive edge capacities and k pairs of vertices (s1, t1), (s2, t2), . . . , (sk, tk), called terminals, an h-route cut is a ...
Petr Kolman, Christian Scheideler
JGO
2010
115views more  JGO 2010»
13 years 3 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