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» Complexity bounds for zero-test algorithms
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150
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JC
2008
77views more  JC 2008»
15 years 6 months ago
A numerical algorithm for zero counting, I: Complexity and accuracy
We describe an algorithm to count the number of distinct real zeros of a polynomial (square) system f. The algorithm performs O(log(nD(f))) iterations (grid refinements) where n is...
Felipe Cucker, Teresa Krick, Gregorio Malajovich, ...
297
Voted
POPL
2009
ACM
16 years 7 months ago
SPEED: precise and efficient static estimation of program computational complexity
This paper describes an inter-procedural technique for computing symbolic bounds on the number of statements a procedure executes in terms of its scalar inputs and user-defined qu...
Sumit Gulwani, Krishna K. Mehra, Trishul M. Chilim...
201
Voted
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
16 years 28 days ago
Lower Bounds on Quantum Multiparty Communication Complexity
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
Troy Lee, Gideon Schechtman, Adi Shraibman
184
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COCO
2003
Springer
162views Algorithms» more  COCO 2003»
15 years 11 months ago
Near-Optimal Lower Bounds on the Multi-Party Communication Complexity of Set Disjointness
We study the communication complexity of the set disjointness problem in the general multi-party model. For t players, each holding a subset of a universe of size n, we establish ...
Amit Chakrabarti, Subhash Khot, Xiaodong Sun
FCT
2005
Springer
15 years 11 months ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...