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Limit Laws for Consensus Protocols on the Complete Graph

math.CO · 2026-05-18 · unverdicted · novelty 7.0

For general update functions f in consensus protocols on the complete graph with o(sqrt(n)) adversarial changes per round, the consensus runtime R_n is asymptotically (1/2)log_γ n + log_m ln n plus a non-converging periodic fluctuation term.

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  • Limit Laws for Consensus Protocols on the Complete Graph math.CO · 2026-05-18 · unverdicted · none · ref 27

    For general update functions f in consensus protocols on the complete graph with o(sqrt(n)) adversarial changes per round, the consensus runtime R_n is asymptotically (1/2)log_γ n + log_m ln n plus a non-converging periodic fluctuation term.