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» Improved upper bounds on the crossing number
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JCT
2007
103views more  JCT 2007»
13 years 7 months ago
Geometric drawings of Kn with few crossings
We give a new upper bound for the rectilinear crossing number cr(n) of the complete geometric graph Kn. We prove that cr(n) ≤ 0.380559 ¡n 4 ¢ + Θ(n3 ) by means of a new const...
Bernardo M. Ábrego, Silvia Fernández...
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 7 months ago
Non Uniform Selection of Solutions for Upper Bounding the 3-SAT Threshold
We give a new insight into the upper bounding of the 3-SAT threshold by the first moment method. The best criteria developed so far to select the solutions to be counted discrimina...
Thomas Hugel, Yacine Boufkhad
SODA
2000
ACM
85views Algorithms» more  SODA 2000»
13 years 8 months ago
Improved bounds on the sample complexity of learning
We present a new general upper bound on the number of examples required to estimate all of the expectations of a set of random variables uniformly well. The quality of the estimat...
Yi Li, Philip M. Long, Aravind Srinivasan
ANTS
2006
Springer
94views Algorithms» more  ANTS 2006»
13 years 11 months ago
Fast Bounds on the Distribution of Smooth Numbers
Let P(n) denote the largest prime divisor of n, and let (x, y) be the number of integers n x with P(n) y. In this paper we present improvements to Bernstein's algorithm, whi...
Scott T. Parsell, Jonathan Sorenson
GLVLSI
2008
IEEE
183views VLSI» more  GLVLSI 2008»
13 years 8 months ago
An analytical model for the upper bound on temperature differences on a chip
The main contribution of this work is an analytical model for finding the upper bound on the temperature difference among various locations on the die. The proposed model can be u...
Shervin Sharifi, Tajana Simunic Rosing