Source authenticated
Stanley's Claw-Free Schur-Positivity Conjecture
Is the chromatic symmetric function $X_G$ Schur positive for every claw-free graph $G$? Two explicit $12$-vertex line graphs have Schur coefficients $-64$ and $-40$ at $s_{(3,3,3,3)}$.
Exact FrontierDelta
Prior state unknown→disproved
Scope and record
Occurred: Jul 23, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Stanley's Claw-Free Schur-Positivity Conjecture · Claw-free Schur positivity
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
ChatGPT-5.6 Sol Pro
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to ChatGPT-5.6 Sol Pro