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» On the Complexity of the Sperner Lemma
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COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
COCOON
2007
Springer
14 years 2 months ago
"Resistant" Polynomials and Stronger Lower Bounds for Depth-Three Arithmetical Formulas
We derive quadratic lower bounds on the ∗-complexity of sum-of-products-of-sums (ΣΠΣ) formulas for classes of polynomials f that have too few partial derivatives for the techn...
Maurice J. Jansen, Kenneth W. Regan
ICALP
2010
Springer
14 years 22 days ago
Pumping and Counting on the Regular Post Embedding Problem
Abstract. The Regular Post Embedding Problem is a variant of Post’s Correspondence Problem where one compares strings with the subword relation and imposes additional regular con...
Pierre Chambart, Philippe Schnoebelen
GECCO
2005
Springer
136views Optimization» more  GECCO 2005»
14 years 1 months ago
Computing the epistasis variance of large-scale traveling salesman problems
The interaction among variables of an optimization problem is known as epistasis, and its degree is an important measure for the nonlinearity of the problem. We address the proble...
Dong-il Seo, Byung Ro Moon
STOC
2005
ACM
110views Algorithms» more  STOC 2005»
14 years 8 months ago
Key agreement from weak bit agreement
Assume that Alice and Bob, given an authentic channel, have a protocol where they end up with a bit SA and SB, respectively, such that with probability 1+ 2 these bits are equal. ...
Thomas Holenstein