English

On Distributed Function Computation in Structure-Free Random Networks

Information Theory 2008-05-06 v1 math.IT

Abstract

We consider in-network computation of MAX in a structure-free random multihop wireless network. Nodes do not know their relative or absolute locations and use the Aloha MAC protocol. For one-shot computation, we describe a protocol in which the MAX value becomes available at the origin in O(n/logn)O(\sqrt{n/\log n}) slots with high probability. This is within a constant factor of that required by the best coordinated protocol. A minimal structure (knowledge of hop-distance from the sink) is imposed on the network and with this structure, we describe a protocol for pipelined computation of MAX that achieves a rate of Ω(1/(log2n)).\Omega(1/(\log^2 n)).

Cite

@article{arxiv.0805.0337,
  title  = {On Distributed Function Computation in Structure-Free Random Networks},
  author = {Sudeep Kamath and D. Manjunath},
  journal= {arXiv preprint arXiv:0805.0337},
  year   = {2008}
}

Comments

13 pages, 1 figure. Accepted at IEEE International Symposium on Information Theory 2008

R2 v1 2026-06-21T10:37:03.136Z