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BMCBI
2007
115views more  BMCBI 2007»
14 years 10 months ago
Local comparison of protein structures highlights cases of convergent evolution in analogous functional sites
Background: We performed an exhaustive search for local structural similarities in an ensemble of non-redundant protein functional sites. With the purpose of finding new examples ...
Gabriele Ausiello, Daniele Peluso, Allegra Via, Ma...
COMBINATORICS
2002
71views more  COMBINATORICS 2002»
14 years 9 months ago
Permutations Which Avoid 1243 and 2143, Continued Fractions, and Chebyshev Polynomials
Several authors have examined connections between permutations which avoid 132, continued fractions, and Chebyshev polynomials of the second kind. In this paper we prove analogues...
Eric S. Egge, Toufik Mansour
FFA
2006
120views more  FFA 2006»
14 years 10 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
2007
58views more  COMBINATORICS 2007»
14 years 10 months ago
The Initial Involution Patterns of Permutations
For a permutation π = π1π2 · · · πn ∈ Sn and a positive integer i ≤ n, we can view π1π2 · · · πi as an element of Si by order-preserving relabeling. The j-set of ...
Dongsu Kim, Jang Soo Kim
CORR
2011
Springer
156views Education» more  CORR 2011»
14 years 4 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