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RSA
2010
108views more  RSA 2010»
13 years 4 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
COMBINATORICS
2004
81views more  COMBINATORICS 2004»
13 years 5 months ago
A Card Shuffling Analysis of Deformations of the Plancherel Measure of the Symmetric Group
This paper finds and analyzes a formula for the total variation distance between iterations of riffle shuffles and iterations of "cut and then riffle shuffle". This allo...
Jason E. Fulman
ICS
2010
Tsinghua U.
13 years 10 months ago
Bounds on the Quantum Satisfiability Threshold
Quantum k-SAT is the problem of deciding whether there is a n-qubit state which is perpendicular to a set of vectors, each of which lies in the Hilbert space of k qubits. Equivale...
Sergey Bravyi, Cristopher Moore, Alexander Russell
SAT
2004
Springer
131views Hardware» more  SAT 2004»
13 years 11 months ago
A Comparative Study of 2QBF Algorithms
2QBF is the problem of evaluating a Quantified Boolean Formula (QBF) with two levels of quantification. Many practical problems in sequential verification can be formulated as i...
Darsh P. Ranjan, Daijue Tang, Sharad Malik
EJC
2006
13 years 5 months ago
Counting connected graphs asymptotically
We find the asymptotic number of connected graphs with k vertices and k - 1 + l edges when k, l approach infinity, reproving a result of Bender, Canfield and McKay. We use the pro...
Remco van der Hofstad, Joel Spencer