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SODA
2012
ACM
245views Algorithms» more  SODA 2012»
11 years 10 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
STOC
2005
ACM
130views Algorithms» more  STOC 2005»
14 years 8 months ago
From a static impossibility to an adaptive lower bound: the complexity of early deciding set agreement
Set agreement, where processors decisions constitute a set of outputs, is notoriously harder to analyze than consensus where the decisions are restricted to a single output. This ...
Eli Gafni, Rachid Guerraoui, Bastian Pochon
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
14 years 2 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
FOSSACS
2008
Springer
13 years 9 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
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 9 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell