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» Combinatorics of Partial Derivatives
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COCOON
2007
Springer
14 years 4 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
JCT
2010
118views more  JCT 2010»
13 years 8 months ago
Combinatorics on partial word correlations
Francine Blanchet-Sadri, Justin Fowler, Joshua D. ...
COMBINATORICS
1999
70views more  COMBINATORICS 1999»
13 years 10 months ago
Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences
Let Pn and Qn be the polynomials obtained by repeated differentiation of the tangent and secant functions respectively. From the exponential generating functions of these polynomia...
Michael E. Hoffman
COMBINATORICS
2004
97views more  COMBINATORICS 2004»
13 years 10 months ago
Dominance Order and Graphical Partitions
We gave a new criterion for graphical partitions. We derive a new recursion formula, which allows the computation of the number g(n) of graphical partitions of weight n for up to ...
Axel Kohnert
BSL
2000
153views more  BSL 2000»
13 years 10 months ago
Combinatorics with definable sets: Euler characteristics and Grothendieck rings
We recall the notions of weak and strong Euler characteristics on a first order structure and make explicit the notion of a Grothendieck ring of a structure. We define partially or...
Jan Krajícek, Thomas Scanlon