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COMPGEOM
2009
ACM
14 years 2 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
JC
2007
64views more  JC 2007»
13 years 7 months ago
Quadrature in Besov spaces on the Euclidean sphere
Let q ≥ 1 be an integer, Sq denote the unit sphere embedded in the Euclidean space Rq+1, and µq be its Lebesgue surface measure. We establish upper and lower bounds for sup f...
Kerstin Hesse, H. N. Mhaskar, Ian H. Sloan
SODA
2010
ACM
177views Algorithms» more  SODA 2010»
14 years 5 months ago
On the Exact Space Complexity of Sketching and Streaming Small Norms
We settle the 1-pass space complexity of (1 ? )approximating the Lp norm, for real p with 1 p 2, of a length-n vector updated in a length-m stream with updates to its coordinate...
Daniel M. Kane, Jelani Nelson, David P. Woodruff
COCOON
2009
Springer
14 years 2 months ago
On the Readability of Monotone Boolean Formulae
Golumbic et al. [Discrete Applied Mathematics 154(2006) 1465-1477] defined the readability of a monotone Boolean function f to be the minimum integer k such that there exists an ...
Khaled M. Elbassioni, Kazuhisa Makino, Imran Rauf
ISAAC
2009
Springer
127views Algorithms» more  ISAAC 2009»
14 years 2 months ago
Maximal Strip Recovery Problem with Gaps: Hardness and Approximation Algorithms
Abstract. Given two comparative maps, that is two sequences of markers each representing a genome, the Maximal Strip Recovery problem (MSR) asks to extract a largest sequence of ma...
Laurent Bulteau, Guillaume Fertin, Irena Rusu