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RSA
2006
63views more  RSA 2006»
13 years 9 months ago
Random cutting and records in deterministic and random trees
We study random cutting down of a rooted tree and show that the number of cuts is equal (in distribution) to the number of records in the tree when edges (or vertices) are assigned...
Svante Janson
RSA
2006
91views more  RSA 2006»
13 years 9 months ago
Average case analysis of the Boyer-Moore algorithm
Limit theorems (including a Berry-Esseen bound) are derived for the number of comparisons taken by the Boyer-Moore algorithm for finding the occurrences of a given pattern in a ra...
Tsung-Hsi Tsai
RSA
2006
69views more  RSA 2006»
13 years 9 months ago
On smoothed analysis in dense graphs and formulas
: We study a model of random graphs, where a random instance is obtained by adding random edges to a large graph of a given density. The research on this model has been started by ...
Michael Krivelevich, Benny Sudakov, Prasad Tetali
RSA
2006
96views more  RSA 2006»
13 years 9 months ago
Concentration inequalities for functions of independent variables
Following the entropy method this paper presents general concentration inequalities, which can be applied to combinatorial optimization and empirical processes. The inequalities g...
Andreas Maurer
RSA
2006
71views more  RSA 2006»
13 years 9 months ago
Some conditional correlation inequalities for percolation and related processes
: Consider ordinary bond percolation on a finite or countably infinite graph. Let s, t, a, and b be vertices. An earlier paper (J. Van den Berg and J. Kahn, Ann Probab 29 (2001), 1...
Jacob van den Berg, Olle Häggström, Jeff...