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ALGORITHMICA
2005
93views more  ALGORITHMICA 2005»
15 years 3 months ago
Universal Asymptotics for Random Tries and PATRICIA Trees
Abstract. We consider random tries and random patricia trees constructed from n independent strings of symbols drawn from any distribution on any discrete space. We show that many ...
Luc Devroye
ISSAC
2007
Springer
94views Mathematics» more  ISSAC 2007»
15 years 9 months ago
Faster algorithms for the characteristic polynomial
A new randomized algorithm is presented for computing the characteristic polynomial of an n × n matrix over a field. Over a sufficiently large field the asymptotic expected com...
Clément Pernet, Arne Storjohann
WEA
2004
Springer
129views Algorithms» more  WEA 2004»
15 years 8 months ago
Experimental Comparison of Greedy Randomized Adaptive Search Procedures for the Maximum Diversity Problem
Abstract. The maximum diversity problem (MDP) consists of identifying optimally diverse subsets of elements from some larger collection. The selection of elements is based on the d...
Geiza C. Silva, Luiz Satoru Ochi, Simone L. Martin...
APPROX
2008
Springer
88views Algorithms» more  APPROX 2008»
15 years 5 months ago
Limitations of Hardness vs. Randomness under Uniform Reductions
We consider (uniform) reductions from computing a function f to the task of distinguishing the output of some pseudorandom generator G from uniform. Impagliazzo and Wigderson [IW]...
Dan Gutfreund, Salil P. Vadhan
RSA
2002
69views more  RSA 2002»
15 years 2 months ago
On the covariance of the level sizes in random recursive trees
In this paper we study the covariance structure of the number of nodes k and l steps away from the root in random recursive trees. We give an analytic expression valid for all k, ...
Remco van der Hofstad, Gerard Hooghiemstra, Piet V...