{"id":"star-center-two-edge-sufficiency","text":"The center of a star graph is uniquely determined by inspecting only the first two edges, since the center must appear in every edge; `find_center` runs in O(1) time regardless of graph size.","truth_value":"IN","source":"entries/2026/06/06/find-center-of-star-graph-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"star-center-two-edge-sufficiency","truth_value":"IN","reason":"premise"}]}}