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CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 2 months ago
An Optimal Lower Bound on the Communication Complexity of Gap-Hamming-Distance
We prove an optimal (n) lower bound on the randomized communication complexity of the much-studied GAP-HAMMING-DISTANCE problem. As a consequence, we obtain essentially optimal mu...
Amit Chakrabarti, Oded Regev
COCO
2009
Springer
131views Algorithms» more  COCO 2009»
13 years 11 months ago
A Multi-Round Communication Lower Bound for Gap Hamming and Some Consequences
—The Gap-Hamming-Distance problem arose in the context of proving space lower bounds for a number of key problems in the data stream model. In this problem, Alice and Bob have to...
Joshua Brody, Amit Chakrabarti
FOSSACS
2008
Springer
13 years 6 months ago
Optimal Lower Bounds on Regular Expression Size Using Communication Complexity
The problem of converting deterministic finite automata into (short) regular expressions is considered. It is known that the required expression size is 2(n) in the worst case for ...
Hermann Gruber, Jan Johannsen
CC
2010
Springer
282views System Software» more  CC 2010»
13 years 2 months ago
Lower Bounds on the Randomized Communication Complexity of Read-Once Functions
Abstract. We prove lower bounds on the randomized two-party communication complexity of functions that arise from read-once boolean formulae. A read-once boolean formula is a formu...
Nikos Leonardos, Michael Saks
COCO
2003
Springer
162views Algorithms» more  COCO 2003»
13 years 9 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