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Written on the Wall II, Graph Conjecture 103

For every connected graph $G$, is $\alpha(G) \le \lfloor b(G) - \log(\operatorname{ecc}_{avg}(G)) \rfloor$, where $b(G)$ is the largest induced-bipartite-subgraph order? An $11$-vertex counterexample - a triangle with four leaves on each of two vertices - has $\alpha = 9$ against bound $8$.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jul 22, 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 103 · WoW 103

Confidence: Not scored

Registry verification: lean verified · announcement · resolved

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VibeMathed
registry · event recorded by

ChatGPT + Codex
model · ai model contributor · OpenAI

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This event attributed to ChatGPT + Codex

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Written on the Wall II, Graph Conjecture 103 — Mathematical Frontier Network