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The ring wants to be broken

physics.soc-ph · 2026-07-02 · unverdicted · novelty 7.0

For the cycle graph the two-community posterior decays as a power law so r_κ is infinite, but for the next-nearest-neighbor ring a finite transition occurs near 35 nodes with log-evidence growing linearly as (ln 2) n.

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  • The ring wants to be broken physics.soc-ph · 2026-07-02 · unverdicted · none · ref 15

    For the cycle graph the two-community posterior decays as a power law so r_κ is infinite, but for the next-nearest-neighbor ring a finite transition occurs near 35 nodes with log-evidence growing linearly as (ln 2) n.