Friday, June 25, 2010 — 3:30 PM to 4:30 PM EDT

The Partition Bound for Classical Communication Complexity and Query Complexity

Speaker: Rahul Jain
Affiliation: National University of Singapore
Room: Mathematics & Computer Building (MC) 5158

Abstract:

We describe new lower bounds for randomized communication complexity and query complexity which we call the partition bounds. They are expressed as the optimum value of linear programs. For communication complexity we show that the partition bound is stronger than both the rectangle/corruption bound and the \gamma_2/generalized discrepancy bounds. In the model of query complexity we show that the partition bound is stronger than the approximate polynomial degree and classical adversary bounds. We also exhibit an example where the partition bound is quadratically larger than polynomial degree and classical adversary bounds. 

Joint work with Hartmut Klauck.

Location 
MC - Mathematics & Computer Building
5158
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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