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Monical's Saturated Newton Polytope Conjecture

If a chromatic symmetric function is Schur positive, must every finite-variable specialization $X_G(x_1, \dots, x_k)$ have a saturated Newton polytope? A $12$-vertex bipartite graph realizes weights $(6,6,0)$ and $(8,2,2)$ but omits their midpoint $(7,4,1)$.

Exact FrontierDelta

Prior state unknowndisproved

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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: Monical's Saturated Newton Polytope Conjecture · Monical SNP

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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VibeMathed
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ChatGPT-5.6 Sol Pro
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Monical's Saturated Newton Polytope Conjecture — Mathematical Frontier Network