Computer Science – Distributed – Parallel – and Cluster Computing
Scientific paper
2009-07-16
Computer Science
Distributed, Parallel, and Cluster Computing
Scientific paper
We propose a model for deterministic distributed function computation by a network of identical and anonymous nodes, with bounded computation and storage capabilities that do not scale with the network size. Our goal is to characterize the class of functions that can be computed within this model. In our main result, we exhibit a class of non-computable functions, and prove that every function outside this class can at least be approximated. The problem of computing averages in a distributed manner plays a central role in our development.
Hendrickx Julien M.
Olshevsky Alex
Tsitsiklis John N.
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