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» A Lower Bound for Primality
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DAM
2007
141views more  DAM 2007»
15 years 6 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
DAM
2007
84views more  DAM 2007»
15 years 6 months ago
Estimates of covering numbers of convex sets with slowly decaying orthogonal subsets
Covering numbers of precompact symmetric convex subsets of Hilbert spaces are investigated. Lower bounds are derived for sets containing orthogonal subsets with norms of their ele...
Vera Kurková, Marcello Sanguineti
RSA
2008
85views more  RSA 2008»
15 years 6 months ago
On a universal best choice algorithm for partially ordered sets
For the only known universal best choice algorithm for partially ordered sets with known cardinality and unknown order (proposed by J. Preater) we improve the estimation of the lo...
Nicholas Georgiou, Malgorzata Kuchta, Michal Moray...
CORR
2011
Springer
148views Education» more  CORR 2011»
15 years 1 months ago
How well can we estimate a sparse vector?
The estimation of a sparse vector in the linear model is a fundamental problem in signal processing, statistics, and compressive sensing. This paper establishes a lower bound on t...
Emmanuel J. Candès, Mark A. Davenport
STOC
2001
ACM
132views Algorithms» more  STOC 2001»
16 years 6 months ago
Edge isoperimetry and rapid mixing on matroids and geometric Markov chains
We show how to bound the mixing time and log-Sobolev constants of Markov chains by bounding the edge-isoperimetry of their underlying graphs. To do this we use two recent techniqu...
Ravi Montenegro, Jung-Bae Son