{"id":"ring-topology-convergence-is-linear-in-node-count","text":"Ring topology requires O(N) sync rounds for full convergence because each round advances changes by exactly one hop via store-and-forward requeuing, unlike fully-connected topologies that converge in one round.","truth_value":"IN","source":"","source_url":"","source_hash":"","justifications":[{"type":"SL","antecedents":["ring-requires-n-minus-one-rounds","ring-topology-needs-multiple-sync-rounds","ring-requeues-via-apply-remote-change"],"outlist":[],"label":"Three observations pin convergence delay to the store-and-forward mechanism: apply-remote-change requeues to pending, and pending drains one hop per sync"}],"dependents":["convergence-rate-asymmetry-membership-vs-data","topology-creates-divergence-window-not-correctness-gap"],"metadata":{"last_reviewed":"2026-05-30T09:01:17","review_result":"unnecessary"},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"ring-topology-convergence-is-linear-in-node-count","truth_value":"IN","reason":"SL justification valid","antecedents":["ring-requires-n-minus-one-rounds","ring-topology-needs-multiple-sync-rounds","ring-requeues-via-apply-remote-change"],"label":"Three observations pin convergence delay to the store-and-forward mechanism: apply-remote-change requeues to pending, and pending drains one hop per sync"},{"node":"ring-requires-n-minus-one-rounds","truth_value":"IN","reason":"premise"},{"node":"ring-topology-needs-multiple-sync-rounds","truth_value":"IN","reason":"premise"},{"node":"ring-requeues-via-apply-remote-change","truth_value":"IN","reason":"premise"}]}}