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» Universality of random graphs
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FOCS
2000
IEEE
15 years 7 months ago
Efficient Algorithms for Universal Portfolios
A constant rebalanced portfolio is an investment strategy that keeps the same distribution of wealth among a set of stocks from day to day. There has been much work on Cover'...
Adam Kalai, Santosh Vempala
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
16 years 4 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
ICALP
2007
Springer
15 years 10 months ago
On the Chromatic Number of Random Graphs
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Amin Coja-Oghlan, Konstantinos Panagiotou, Angelik...
APPROX
2004
Springer
129views Algorithms» more  APPROX 2004»
15 years 9 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
TIP
2008
124views more  TIP 2008»
15 years 3 months ago
Graph Laplacian Tomography From Unknown Random Projections
We introduce a graph Laplacian based algorithm for the tomography reconstruction of a planar object from its projections taken at random unknown directions. The algorithm is shown ...
Ronald R. Coifman, Yoel Shkolnisky, Fred J. Sigwor...