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» Bounding Smooth Integers
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JCSS
2007
88views more  JCSS 2007»
13 years 7 months ago
Counting lattice vectors
We consider the problem of counting the number of lattice vectors of a given length and prove several results regarding its computational complexity. We show that the problem is â™...
Denis Xavier Charles
DM
2000
158views more  DM 2000»
13 years 7 months ago
Bipartite Ramsey numbers and Zarankiewicz numbers
The Zarankiewicz number z(s, m) is the maximum number of edges in a subgraph of K(s, s) that does not contain K(m, m) as a subgraph. The bipartite Ramsey number b(m, n) is the lea...
Wayne Goddard, Michael A. Henning, Ortrud R. Oelle...
DM
2002
101views more  DM 2002»
13 years 7 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
RSA
2002
71views more  RSA 2002»
13 years 7 months ago
The infamous upper tail
Let be a finite index set and k 1 a given integer. Let further S []k be an arbitrary family of k element subsets of . Consider a (binomial) random subset p of , where p = (pi :...
Svante Janson, Andrzej Rucinski
IJFCS
2010
67views more  IJFCS 2010»
13 years 6 months ago
Number of Occurrences of powers in Strings
Abstract. We show a Θ(n log n) bound on the maximal number of occurrences of primitively-rooted k-th powers occurring in a string of length n for any integer k, k ≥ 2. We also s...
Maxime Crochemore, Szilárd Zsolt Fazekas, C...