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CORR
2006
Springer
87views Education» more  CORR 2006»
13 years 5 months ago
Pseudorandomness and Combinatorial Constructions
Abstract. In combinatorics, the probabilistic method is a very powerful tool to prove the existence of combinatorial objects with interesting and useful properties. Explicit constr...
Luca Trevisan
DM
2000
89views more  DM 2000»
13 years 5 months ago
Some counting problems related to permutation groups
This paper discusses investigations of sequences of natural numbers which count the orbits of an in nite permutation group on n-sets or n-tuples. It surveys known results on the g...
Peter J. Cameron
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 5 months ago
On the fourier tails of bounded functions over the discrete cube
In this paper we consider bounded real-valued functions over the discrete cube, f : {-1, 1}n [-1, 1]. Such functions arise naturally in theoretical computer science, combinatorics...
Irit Dinur, Ehud Friedgut, Guy Kindler, Ryan O'Don...
CJTCS
1999
133views more  CJTCS 1999»
13 years 5 months ago
The Permanent Requires Large Uniform Threshold Circuits
We show that thepermanent cannot be computed by uniform constantdepth threshold circuits of size Tn, for any function T such that for all k, Tk n = o2n. More generally, we show th...
Eric Allender
JCT
2011
141views more  JCT 2011»
13 years 16 days ago
Bijections for Baxter families and related objects
The Baxter number Bn can be written as Bn = n k=0 Θk,n−k−1 with Θk,ℓ = 2 (k + 1)2 (k + 2) k + ℓ k k + ℓ + 1 k k + ℓ + 2 k . These numbers have first appeared in the...
Stefan Felsner, Éric Fusy, Marc Noy, David ...