Source authenticated

Written on the Wall II, Conjecture 284

WOW-284 asserts that the minimum dual degree of every connected graph of order at least three and girth at least five is at most the negative of its least distance eigenvalue. The paper refutes it with exact counterexamples of orders 38, 39, 40, 42 and 50, and develops a structural theory of the failure.

Exact FrontierDelta

Prior state unknowndisproved

Scope and record

Occurred: Jul 29, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-assisted. Imported under CC BY 4.0.

Canonical aliases: Written on the Wall II, Conjecture 284 · WOW-284

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Samuil Petkov
human · human collaborator

ChatGPT-5.6 Sol Pro
model · ai model contributor · OpenAI

Artifacts and verifiers

Counterexample certificates and Lean sources

lean artifact · pending

Artifact ↗

Compute record

No linked compute attempts recorded.

Lineage and corrections

This event attributed to Samuil Petkov

This event attributed to ChatGPT-5.6 Sol Pro

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