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DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
14 years 12 days ago
On the Complexity of Graph Self-assembly in Accretive Systems
We study the complexity of the Accretive Graph Assembly Problem (AGAP). An instance of AGAP consists of an edge-weighted graph G, a seed vertex in G, and a temperature . The goal i...
Stanislav Angelov, Sanjeev Khanna, Mirkó Vi...
FCT
2007
Springer
14 years 2 months ago
On the Topological Complexity of Weakly Recognizable Tree Languages
We show that the family of tree languages recognized by weak alternating automata is closed by three set theoretic operations that correspond to sum, multiplication by ordinals <...
Jacques Duparc, Filip Murlak
CSR
2006
Springer
14 years 12 days ago
Complexity of Polynomial Multiplication over Finite Fields
Let Mq (n ) denote the number of multiplications required to compute the coefficients of the product of two polynomials of degree n over a q -element field by means of bilinear alg...
Michael Kaminski
CORR
2010
Springer
60views Education» more  CORR 2010»
13 years 8 months ago
Hypersurfaces with degenerate duals and the Geometric Complexity Theory Program
We determine set-theoretic defining equations for the variety Dualk,d,N P(Sd CN ) of hypersurfaces of degree d in CN that have dual variety of dimension at most k. We apply these ...
J. M. Landsberg, Laurent Manivel, Nicolas Ressayre
STACS
2010
Springer
14 years 3 months ago
Evasiveness and the Distribution of Prime Numbers
Abstract. A Boolean function on N variables is called evasive if its decision-tree complexity is N. A sequence Bn of Boolean functions is eventually evasive if Bn is evasive for al...
László Babai, Anandam Banerjee, Ragh...