Delphi.science

Written on the Wall II, Conjecture 84: tree(G) ≥ 2 rad(G) / δ(G)

Source: github.com/ProblemHunter/wowii84-lean/tree/722b098bafb5371c…

Yixing Zhang

Palomar Registrypalomar/PALOMAR-2026-11-03-000005Nov 3, 2026math.COscore 0

A complete Lean 4 / Mathlib formalization of Conjecture 84 of DeLaViña's "Written on the Wall II" (conjectures of Graffiti.pc): for every finite simple connected graph G with positive minimum degree δ(G), the maximum number of vertices of an induced subtree satisfies tree(G) ≥ 2·rad(G)/δ(G). The formal statement is the one recorded in google-deepmind/formal-conjectures (WrittenOnTheWallII/GraphConjecture84.lean, theorem `conjecture84`), copied verbatim together with its definition of `largestInducedTreeSize`. The proof formalizes the argument of J. J. Gebendorfer's manuscript "Induced trees…

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