In this paper we explore the possibility of using computational algebraic methods to analyze a class of consensus protocols. We state some necessary conditions for convergence under consensus protocols that are polynomials.
@article{arxiv.1107.3584,
title = {On Consensus under Polynomial Protocols},
author = {Joel George Manathara and Ambedkar Dukkipati and Debasish Ghose},
journal= {arXiv preprint arXiv:1107.3584},
year = {2011}
}