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» Counting 1324-Avoiding Permutations
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DM
2007
83views more  DM 2007»
13 years 4 months ago
Restricted colored permutations and Chebyshev polynomials
Several authors have examined connections between restricted permutations and Chebyshev polynomials of the second kind. In this paper we prove analogues of these results for color...
Eric S. Egge
FFA
2006
120views more  FFA 2006»
13 years 4 months ago
Enumerating permutation polynomials over finite fields by degree II
This note is a continuation of a paper by the same authors that appeared in 2002 in the same journal. First we extend the method of the previous paper proving an asymptotic formul...
Sergei Konyagin, Francesco Pappalardi
COMBINATORICS
2000
107views more  COMBINATORICS 2000»
13 years 4 months ago
Counting Pattern-free Set Partitions II: Noncrossing and Other Hypergraphs
A (multi)hypergraph H with vertices in N contains a permutation p = a1a2 . . . ak of 1, 2, . . . , k if one can reduce H by omitting vertices from the edges so that the resulting ...
Martin Klazar
CORR
2011
Springer
156views Education» more  CORR 2011»
12 years 11 months ago
Impossibility of Succinct Quantum Proofs for Collision-Freeness
We show that any quantum algorithm to decide whether a function f : [n] → [n] is a permutation or far from a permutation must make Ω n1/3 /w queries to f, even if the algorith...
Scott Aaronson