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Written on the Wall II, Graph Conjecture 109

Must every connected graph satisfy the proposed upper bound on its independence number in terms of residue and largest induced-bipartite-subgraph order? The family $\overline{K}_{2r+1} \vee (K_r \sqcup K_r)$ violates it for every $r \ge 3$.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jul 28, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: lean-verified. Publication: announcement. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Written on the Wall II, Graph Conjecture 109 · WoW 109

Confidence: Not scored

Registry verification: lean verified · announcement · resolved

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VibeMathed
registry · event recorded by

GPT-5.6 Sol Max (Codex)
model · ai model contributor · OpenAI

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This event attributed to GPT-5.6 Sol Max (Codex)

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