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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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Evidence for the seven-root linear-band obstruction

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Run uv run --no-sync python wiki/theory/extremal_graph_theory/L240_seven_root_linear_band_obstruction/evidence/main.py from the repository root. The entry point runs the shared profile-envelope evidence, which retains the graph construction, automorphisms, Boolean rules and exact branch checker. The full run takes several minutes. The --quick mode omits the Higman–Sims clauses and therefore does not verify the whole claim.

The lower bound used by L240 is U7≥81/1000U_7\ge81/1000, checked with integer and rational arithmetic. Separately labeled floating-point optimality reports about a stronger value are not premises of this claim.