Title
Distributed Anonymous Discrete Function Computation
Abstract
We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes. In this model, each node has bounded computation and storage capabilities that do not grow with the network size. Furthermore, each node only knows its neighbors, not the entire graph. Our goal is to characterize the class of functions that can be computed within this model. In our main result, we provide a necessary condition for computability which we show to be nearly sufficient, in the sense that every function that violates this condition can at least be approximated. The problem of computing (suitably rounded) averages in a distributed manner plays a central role in our development; we provide an algorithm that solves it in time that grows quadratically with the size of the network.
Year
DOI
Venue
2011
10.1109/TAC.2011.2163874
Automatic Control, IEEE Transactions
Keywords
Field
DocType
computability,computational complexity,distributed algorithms,storage management,anonymous nodes,bounded computation,deterministic distributed function computation,distributed anonymous discrete function computation,identical nodes,network size,storage capability,averaging algorithms,distributed computing,distributed control,satisfiability,distribution function,cluster computing
Approximation algorithm,Quadratic growth,Computer science,Algorithm,Computability,Distributed algorithm,Memory management,Computational complexity theory,Computation,Bounded function
Journal
Volume
Issue
ISSN
56
10
0018-9286
Citations 
PageRank 
References 
8
0.63
23
Authors
3
Name
Order
Citations
PageRank
Julien M. Hendrickx177277.11
Alex Olshevsky2122787.77
John N. Tsitsiklis3712101.13