An Upper Bound on the Convergence Time for Distributed Binary Consensus
Performance
2013-05-21 v2
Abstract
The problem addressed in this paper is the analysis of a distributed consensus algorithm for arbitrary networks, proposed by B\'en\'ezit et al.. In the initial setting, each node in the network has one of two possible states ("yes" or "no"). Nodes can update their states by communicating with their neighbors via a 2-bit message in an asynchronous clock setting. Eventually, all nodes reach consensus on the majority states. We use the theory of electric networks, random walks, and couplings of Markov chains to derive an O(N4 logN) upper bound for the expected convergence time on an arbitrary graph of size N.
Cite
@article{arxiv.1208.0525,
title = {An Upper Bound on the Convergence Time for Distributed Binary Consensus},
author = {Shang Shang and Paul W. Cuff and Sanjeev R. Kulkarni and Pan Hui},
journal= {arXiv preprint arXiv:1208.0525},
year = {2013}
}
Comments
15th International Conference on Information Fusion, July 2012, 7 pages