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FOSSACS
2008
Springer
13 years 7 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
COCO
2003
Springer
162views Algorithms» more  COCO 2003»
13 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
ICALP
2005
Springer
13 years 11 months ago
Hadamard Tensors and Lower Bounds on Multiparty Communication Complexity
We develop a new method for estimating the discrepancy of tensors associated with multiparty communication problems in the “Number on the Forehead” model of Chandra, Furst and...
Jeff Ford, Anna Gál
CORR
2010
Springer
117views Education» more  CORR 2010»
13 years 3 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
FOCS
1991
IEEE
13 years 9 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...