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STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 4 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
92
Voted
EUROCRYPT
2005
Springer
15 years 6 months ago
Approximate Quantum Error-Correcting Codes and Secret Sharing Schemes
It is a standard result in the theory of quantum error-correcting codes that no code of length n can fix more than n/4 arbitrary errors, regardless of the dimension of the coding ...
Claude Crépeau, Daniel Gottesman, Adam Smit...
109
Voted
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
15 years 1 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...
87
Voted
CORR
2002
Springer
135views Education» more  CORR 2002»
15 years 7 days 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
98
Voted
SIAMSC
2008
108views more  SIAMSC 2008»
15 years 10 days ago
A Nine Point Scheme for the Approximation of Diffusion Operators on Distorted Quadrilateral Meshes
A nine point scheme is presented for discretizing diffusion operators on distorted quadrilateral meshes. The advantage of this method is that highly distorted meshes can be used wi...
Zhiqiang Sheng, Guangwei Yuan