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» Simple Randomized Algorithms for Closest Pair Problems
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DAM
2007
74views more  DAM 2007»
14 years 9 months ago
On the uniform edge-partition of a tree
We study the problem of uniformly partitioning the edge set of a tree with n edges into k connected components, where k ≤ n. The objective is to minimize the ratio of the maximu...
Bang Ye Wu, Hung-Lung Wang, Shih Ta Kuan, Kun-Mao ...
CDC
2009
IEEE
115views Control Systems» more  CDC 2009»
15 years 2 months ago
Quantized consensus via adaptive stochastic gossip algorithm
Abstract— This paper is concerned with the distributed averaging problem over a given undirected graph. To enable every vertex to compute the average of the initial numbers sitti...
Javad Lavaei, Richard M. Murray
COMPGEOM
2004
ACM
15 years 3 months ago
Computing the visibility graph of points within a polygon
We study the problem of computing the visibility graph defined by a set P of n points inside a polygon Q: two points p, q ∈ P are joined by an edge if the segment pq ⊂ Q. Ef...
Boaz Ben-Moshe, Olaf Hall-Holt, Matthew J. Katz, J...
APPROX
2010
Springer
213views Algorithms» more  APPROX 2010»
14 years 11 months ago
Constructive Proofs of Concentration Bounds
We give a simple combinatorial proof of the Chernoff-Hoeffding concentration bound [Che52, Hoe63], which says that the sum of independent {0, 1}-valued random variables is highly ...
Russell Impagliazzo, Valentine Kabanets
FSTTCS
2004
Springer
15 years 3 months ago
Testing Geometric Convexity
We consider the problem of determining whether a given set S in Rn is approximately convex, i.e., if there is a convex set K ∈ Rn such that the volume of their symmetric differe...
Luis Rademacher, Santosh Vempala