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MFCS
2010
Springer
13 years 6 months ago
Weights of Exact Threshold Functions
We consider Boolean exact threshold functions defined by linear equations, and in general degree d polynomials. We give upper and lower bounds on the maximum magnitude (absolute va...
László Babai, Kristoffer Arnsfelt Ha...
FOCS
2009
IEEE
14 years 3 months ago
Higher Eigenvalues of Graphs
— We present a general method for proving upper bounds on the eigenvalues of the graph Laplacian. In particular, we show that for any positive integer k, the kth smallest eigenva...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
CLASSIFICATION
2008
71views more  CLASSIFICATION 2008»
13 years 8 months ago
Bounds of Resemblance Measures for Binary (Presence/Absence) Variables
Abstract: Bounds of association coefficients for binary variables are derived using the arithmetic-geometric-harmonic mean inequality. More precisely, it is shown which presence/ab...
Matthijs J. Warrens
FOCS
2006
IEEE
14 years 2 months ago
New Limits on Fault-Tolerant Quantum Computation
We show that quantum circuits cannot be made faulttolerant against a depolarizing noise level of ˆθ = (6 − 2 √ 2)/7 ≈ 45%, thereby improving on a previous bound of 50% (du...
Harry Buhrman, Richard Cleve, Monique Laurent, Noa...
COMPGEOM
2010
ACM
14 years 1 months ago
Improving the first selection lemma in R3
We present new bounds on the first selection lemma in R3 . This makes progress on the open problems of Bukh, Matoušek and Nivash [6] and Boros-Füredi [4] for the three-dimensio...
Abdul Basit, Nabil H. Mustafa, Saurabh Ray, Sarfra...