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» Introduction to Randomized Algorithms
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STOC
2004
ACM
134views Algorithms» more  STOC 2004»
16 years 2 months ago
The two possible values of the chromatic number of a random graph
Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
Dimitris Achlioptas, Assaf Naor
106
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MFCS
2007
Springer
15 years 8 months ago
Uncover Low Degree Vertices and Minimise the Mess: Independent Sets in Random Regular Graphs
Abstract. We present algorithmic lower bounds on the size of the largest independent sets of vertices in a random d-regular graph. Our bounds hold with probability approaching one ...
William Duckworth, Michele Zito
SLSFS
2005
Springer
15 years 7 months ago
Random Projection, Margins, Kernels, and Feature-Selection
Random projection is a simple technique that has had a number of applications in algorithm design. In the context of machine learning, it can provide insight into questions such as...
Avrim Blum
APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
15 years 7 months ago
The Chromatic Number of Random Regular Graphs
Given any integer d ≥ 3, let k be the smallest integer such that d < 2k log k. We prove that with high probability the chromatic number of a random d-regular graph is k, k + 1...
Dimitris Achlioptas, Cristopher Moore
STOC
1992
ACM
91views Algorithms» more  STOC 1992»
15 years 6 months ago
Randomized versus Nondeterministic Communication Complexity
Paul Beame Joan Lawry Department of Computer Science and Engineering, FR-35 University of Washington Seattle, Washington 98195 Our main result is the demonstration of a Boolean fu...
Paul Beame, Joan Lawry