Fleet attack on Erdős #580: Do $n/2$ vertices of degree $\geq n/2$ force every tree on $\leq n/2$ vertices? (Erdős #580)
Plan
Hypothesis. Zhao proved it for large n; what remains is literally a finite small-n check, and the background records NO verified bound. geng-scale exhaustion to n~11 (~10^9 graphs, cheap degree filter, <=8 trees to embed) is a near-certain first recorded mark.
Generate all graphs on n<=11 with geng (~1.0e9 at n=11), filter cheaply by the degree condition (at least ceil(n/2) vertices of degree >= n/2, handling both floor/ceil conventions for odd n), then check containment of every tree on <= n/2 vertices with a fast C subgraph-isomorphism routine (at most 8 trees at these sizes). Deliverable: the first recorded exhaustive verification bound for the (n/2,n/2,n/2) conjecture (all n<=11) with reproducible pipeline, per-n counts, and logs - exactly ADVANCES (a), against a background stating no verified bound exists.
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