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» Maximum flows and minimum cuts in the plane
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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
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
COCOON
2008
Springer
13 years 6 months ago
Computing Maximum Flows in Undirected Planar Networks with Both Edge and Vertex Capacities
Abstract. We study the maximum flow problem in an undirected planar network with both edge and vertex capacities (EVC-network). A previous study reduces the minimum cut problem in ...
Xianchao Zhang, Weifa Liang, Guoliang Chen
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 5 months ago
Electrical Flows, Laplacian Systems, and Faster Approximation of Maximum Flow in Undirected Graphs
We introduce a new approach to computing an approximately maximum s-t flow in a capacitated, undirected graph. This flow is computed by solving a sequence of electrical flow probl...
Paul Christiano, Jonathan A. Kelner, Aleksander Ma...
ICMLA
2004
13 years 6 months ago
Outlier detection and evaluation by network flow
Detecting outliers is an important topic in data mining. Sometimes the outliers are more interesting than the rest of the data. Outlier identification has lots of applications, su...
Ying Liu, Alan P. Sprague