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» Nearly Tight Bounds for the Continuum-Armed Bandit Problem
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FOCS
2008
IEEE
13 years 11 months ago
On the Union of Cylinders in Three Dimensions
We show that the combinatorial complexity of the union of n infinite cylinders in R3 , having arbitrary radii, is O(n2+ε ), for any ε > 0; the bound is almost tight in the w...
Esther Ezra
INFORMATICALT
2010
88views more  INFORMATICALT 2010»
13 years 3 months ago
Inapproximability Results for Wavelength Assignment in WDM Optical Networks
We address the issue of inapproximability of the wavelength assignment problem in wavelength division multiplexing (WDM) optical networks. We prove that in an n-node WDM optical ne...
Keqin Li
STOC
2003
ACM
102views Algorithms» more  STOC 2003»
14 years 5 months ago
On metric ramsey-type phenomena
The main question studied in this article may be viewed as a nonlinear analogue of Dvoretzky's theorem in Banach space theory or as part of Ramsey theory in combinatorics. Gi...
Yair Bartal, Nathan Linial, Manor Mendel, Assaf Na...
SODA
2008
ACM
125views Algorithms» more  SODA 2008»
13 years 6 months ago
Ultra-low-dimensional embeddings for doubling metrics
We consider the problem of embedding a metric into low-dimensional Euclidean space. The classical theorems of Bourgain, and of Johnson and Lindenstrauss say that any metric on n p...
T.-H. Hubert Chan, Anupam Gupta, Kunal Talwar
FOCS
2008
IEEE
13 years 11 months ago
Beating the Random Ordering is Hard: Inapproximability of Maximum Acyclic Subgraph
We prove that approximating the Max Acyclic Subgraph problem within a factor better than 1/2 is Unique-Games hard. Specifically, for every constant ε > 0 the following holds:...
Venkatesan Guruswami, Rajsekar Manokaran, Prasad R...