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ITA
2000
13 years 8 months ago
Construction of very hard functions for multiparty communication complexity
We consider the multiparty communication model de ned in 4] using the formalism from 8]. First, we correct an inaccuracy in the proof of the fundamental result of 6] providing a lo...
Ján Manuch
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 2 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
STOC
2003
ACM
152views Algorithms» more  STOC 2003»
14 years 9 months ago
Cell-probe lower bounds for the partial match problem
Given a database of n points in {0, 1}d, the partial match problem is: In response to a query x in {0, 1, }d, find a database point y such that for every i whenever xi = , we have...
T. S. Jayram, Subhash Khot, Ravi Kumar, Yuval Raba...
CORR
2008
Springer
88views Education» more  CORR 2008»
13 years 8 months ago
Lower bounds for distributed markov chain problems
We study the worst-case communication complexity of distributed algorithms computing a path problem based on stationary distributions of random walks in a network G with the caveat...
Rahul Sami, Andy Twigg
CORR
2010
Springer
249views Education» more  CORR 2010»
13 years 8 months ago
Lower Bounds on Near Neighbor Search via Metric Expansion
In this paper we show how the complexity of performing nearest neighbor (NNS) search on a metric space is related to the expansion of the metric space. Given a metric space we loo...
Rina Panigrahy, Kunal Talwar, Udi Wieder