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CC
2010
Springer
282views System Software» more  CC 2010»
13 years 6 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
2009
Springer
115views Algorithms» more  COCO 2009»
14 years 10 days ago
On the Communication Complexity of Read-Once AC^0 Formulae
Abstract--We study the 2-party randomized communication complexity of read-once AC0 formulae. For balanced AND-OR trees T with n inputs and depth d, we show that the communication ...
T. S. Jayram, Swastik Kopparty, Prasad Raghavendra
COCO
1991
Springer
112views Algorithms» more  COCO 1991»
14 years 2 days ago
Randomized vs.Deterministic Decision Tree Complexity for Read-Once Boolean Functions
We consider the deterministic and the randomized decision tree complexities for Boolean functions, denoted DC(f) and RC(f), respectively. A major open problem is how small RC(f) ca...
Rafi Heiman, Avi Wigderson
SODA
2012
ACM
245views Algorithms» more  SODA 2012»
11 years 11 months ago
Lower bounds for number-in-hand multiparty communication complexity, made easy
In this paper we prove lower bounds on randomized multiparty communication complexity, both in the blackboard model (where each message is written on a blackboard for all players ...
Jeff M. Phillips, Elad Verbin, Qin Zhang
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
14 years 3 months 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