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» On the distribution of the number of monotone Boolean functi...
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SODA
2008
ACM
104views Algorithms» more  SODA 2008»
13 years 6 months ago
Ranged hash functions and the price of churn
Ranged hash functions generalize hash tables to the setting where hash buckets may come and go over time, a typical case in distributed settings where hash buckets may correspond ...
James Aspnes, Muli Safra, Yitong Yin
COMBINATORICA
2011
12 years 5 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
IPPS
1998
IEEE
13 years 9 months ago
Processor Lower Bound Formulas for Array Computations and Parametric Diophantine Systems
Using a directed acyclic graph (dag) model of algorithms, we solve a problem related to precedenceconstrained multiprocessor schedules for array computations: Given a sequence of ...
Peter R. Cappello, Ömer Egecioglu
TCS
2008
13 years 5 months ago
On a quasi-ordering on Boolean functions
It was proved few years ago that classes of Boolean functions definable by means of functional equations [9], or equivalently, by means of relational constraints [16], coincide wit...
Miguel Couceiro, Maurice Pouzet
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
13 years 11 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