Delphi.science

Proof of WOWII Conjecture 96 (DeLaVina, Graffiti.pc)

Rhett (@v3ai)

Palomar Registrypalomar/PALOMAR-2026-10-30-000006Oct 30, 2026math.COscore 0

A Lean 4 proof of Conjecture 96 of Written on the Wall II (Graffiti.pc): every connected graph G on at least two vertices satisfies α(G) ≤ 1 + min_v disteven(v)·(max_v l(v) − 1), where disteven(v) is the number of vertices at even distance from v and l(v) is the independence number of the neighbourhood of v. The proof gives the stronger bound α(G) ≤ 1 + disteven(v)·(L − 1) for every vertex v, which is sharp for stars.

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