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» Length-bounded cuts and flows
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2005
Springer
15 years 3 months ago
Length-Bounded and Dynamic k-Splittable Flows
Maren Martens, Martin Skutella
JCT
2011
78views more  JCT 2011»
14 years 4 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»
14 years 9 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»
12 years 12 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»
14 years 8 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