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COGSCI
2004
53views more  COGSCI 2004»
13 years 7 months ago
On the spontaneous discovery of a mathematical relation during problem solving
People spontaneously discover new representations during problem solving. Discovery of a mathematical representation is of special interest, because it shows that the underlying s...
James A. Dixon, Ashley S. Bangert
COCO
1998
Springer
98views Algorithms» more  COCO 1998»
13 years 11 months ago
Probabilistic Martingales and BPTIME Classes
We define probabilistic martingales based on randomized approximation schemes, and show that the resulting notion of probabilistic measure has several desirable robustness propert...
Kenneth W. Regan, D. Sivakumar
FSTTCS
2008
Springer
13 years 8 months ago
STCON in Directed Unique-Path Graphs
ABSTRACT. We study the problem of space-efficient polynomial-time algorithms for directed stconnectivity (STCON). Given a directed graph G, and a pair of vertices s, t, the STCON ...
Sampath Kannan, Sanjeev Khanna, Sudeepa Roy
STOC
2010
ACM
269views Algorithms» more  STOC 2010»
13 years 11 months ago
Approximations for the Isoperimetric and Spectral Profile of Graphs and Related Parameters
The spectral profile of a graph is a natural generalization of the classical notion of its Rayleigh quotient. Roughly speaking, given a graph G, for each 0 < < 1, the spect...
Prasad Raghavendra, David Steurer and Prasad Tetal...
COCO
2005
Springer
131views Algorithms» more  COCO 2005»
14 years 27 days ago
On the Hardness of Approximating Multicut and Sparsest-Cut
We show that the Multicut, Sparsest-Cut, and Min-2CNF≡ Deletion problems are NP-hard to approximate within every constant factor, assuming the Unique Games Conjecture of Khot [S...
Shuchi Chawla, Robert Krauthgamer, Ravi Kumar, Yuv...