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» The Complexity of the Annihilating Polynomial
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CIE
2010
Springer
15 years 2 months ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
JC
2007
130views more  JC 2007»
14 years 9 months ago
On the complexity of deciding connectedness and computing Betti numbers of a complex algebraic variety
We extend the lower bounds on the complexity of computing Betti numbers proved in [6] to complex algebraic varieties. More precisely, we first prove that the problem of deciding ...
Peter Scheiblechner
CORR
2007
Springer
173views Education» more  CORR 2007»
14 years 10 months ago
Computing modular polynomials in quasi-linear time
We analyse and compare the complexity of several algorithms for computing modular polynomials. We show that an algorithm relying on floating point evaluation of modular functions...
Andreas Enge
COCO
2000
Springer
161views Algorithms» more  COCO 2000»
15 years 2 months ago
Characterization of Non-Deterministic Quantum Query and Quantum Communication Complexity
It is known that the classical and quantum query complexities of a total Boolean function f are polynomially related to the degree of its representing polynomial, but the optimal ...
Ronald de Wolf
EJC
2007
14 years 10 months ago
Link complexes of subspace arrangements
Abstract. Given a simplicial hyperplane arrangement H and a subspace arrangement A embedded in H, we define a simplicial complex ∆A,H as the subdivision of the link of A induced...
Axel Hultman