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APPROX
15 years 2 months ago
2004 Springer 
The problem of estimating the kth frequency moment Fk for any nonnegative k, over a data stream by looking at the items exactly once as they arrive, was considered in a seminal pap...
APPROX
15 years 2 months ago
2004 Springer
In standard property testing, the task is to distinguish between objects that have a property P and those that are ε-far from P, for some ε > 0. In this setting, it is perfec...
APPROX
15 years 2 months ago
2004 Springer
We consider a single-source network design problem from a game-theoretic perspective. Gupta, Kumar and Roughgarden (Proc. 35th Annual ACM STOC, pages 365–372, 2003) developed a ...
APPROX
15 years 2 months ago
2004 Springer
ABSTRACT: Let G(n, c/n) and Gr(n) be an n-node sparse random graph and a sparse random rregular graph, respectively, and let I(n, r) and I(n, c) be the sizes of the largest indepen...
APPROX
15 years 2 months ago
2004 Springer
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...
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Algorithms