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RSA
1998
59views more  RSA 1998»
13 years 11 months ago
Random unary predicates: Almost sure theories and countable models
Let Un,p be the random unary predicate and Tk the almost sure first-order theory of Un,p under the linear ordering, where k is a positive integer and n−1/k p(n) n−1/(k+1) . F...
Joel Spencer, Katherine St. John
RSA
1998
53views more  RSA 1998»
13 years 11 months ago
Recursive reconstruction on periodic trees
A periodic tree Tn consists of full n-level copies of a finite tree T. The tree Tn is labeled by random bits. The root label is chosen randomly, and the probability of two adjace...
Elchanan Mossel
RSA
1998
105views more  RSA 1998»
13 years 11 months ago
The chromatic numbers of random hypergraphs
: For a pair of integers 1F␥-r, the ␥-chromatic number of an r-uniform Ž .hypergraph Hs V, E is the minimal k, for which there exists a partition of V into subsets < <T ...
Michael Krivelevich, Benny Sudakov
RSA
1998
62views more  RSA 1998»
13 years 11 months ago
An algorithmic version of the blow-up lemma
János Komlós, Gábor N. S&aacu...
RSA
1998
49views more  RSA 1998»
13 years 11 months ago
Approximating the unsatisfiability threshold of random formulas
Lefteris M. Kirousis, Evangelos Kranakis, Danny Kr...
RSA
1998
82views more  RSA 1998»
13 years 11 months ago
Convergence of branching processes to the local time of a Bessel process
We study Galton-Watson branching processes conditioned on the total progeny to be n which are scaled by a sequence cn tending to infinity as o( √ n). It is shown that this proce...
Bernhard Gittenberger
RSA
1998
62views more  RSA 1998»
13 years 11 months ago
The action of a few permutations on r-tuples is quickly transitive
Joel Friedman, Antoine Joux, Yuval Roichman, Jacqu...
RSA
1998
68views more  RSA 1998»
13 years 11 months ago
Balls and bins: A study in negative dependence
Devdatt P. Dubhashi, Desh Ranjan
RSA
1998
54views more  RSA 1998»
13 years 11 months ago
Random disease on the square grid
We introduce some generalizations of a nice combinatorial problem, the central notion of which is the so-called Disease Process. Let us color independently each square of an n×n c...
József Balogh, Gábor Pete