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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
APPROX
2008
Springer
125views Algorithms» more  APPROX 2008»
15 years 3 months ago
On the Degree Sequences of Random Outerplanar and Series-Parallel Graphs
In order to perform an average-case analysis for specific input distributions one needs to derive and understand properties of a 'typical' input instance. In the case of...
Nicla Bernasconi, Konstantinos Panagiotou, Angelik...