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CORR
2002
Springer
135views Education» more  CORR 2002»
13 years 4 months ago
Randomized Approximation Schemes for Cuts and Flows in Capacitated Graphs
We improve on random sampling techniques for approximately solving problems that involve cuts and flows in graphs. We give a near-linear-time construction that transforms any grap...
András A. Benczúr, David R. Karger
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 4 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...
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
13 years 8 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
SIAMCOMP
2011
12 years 7 months ago
Inapproximability Results for Maximum Edge Biclique, Minimum Linear Arrangement, and Sparsest Cut
We consider the Minimum Linear Arrangement problem and the (Uniform) Sparsest Cut problem. So far, these two notorious NP-hard graph problems have resisted all attempts to prove in...
Christoph Ambühl, Monaldo Mastrolilli, Ola Sv...
CORR
2006
Springer
145views Education» more  CORR 2006»
13 years 4 months ago
Product Multicommodity Flow in Wireless Networks
We provide a tight approximate characterization of the n-dimensional product multicommodity flow (PMF) region for a wireless network of n nodes. Separate characterizations in term...
Ritesh Madan, Devavrat Shah, Olivier Lév&ec...