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» Simple Randomized Algorithms for Closest Pair Problems
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DAM
2007
74views more  DAM 2007»
15 years 6 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 11 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 11 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»
15 years 7 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 11 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