Graffiti Conjecture 284
If a finite graph has girth at least five, must its minimum dual degree satisfy $\delta^*(G) \le -\partial_n(G)$, where $\partial_n(G)$ is the smallest eigenvalue of its distance matrix? The Hoffman-Singleton graph violates it: dual degree $7$ against eigenvalue bound $4$.
Exact FrontierDelta
Scope and record
Occurred: Jul 22, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: announcement. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Graffiti Conjecture 284 · Graffiti 284
Confidence: Not scored
Registry verification: unreviewed · announcement · resolved
Attribution
VibeMathed
registry · event recorded by
Grok 4.5 Medium (Capy build)
model · ai model contributor · xAI
Lineage and corrections
This event attributed to Grok 4.5 Medium (Capy build)