3 problems

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Nguyen's conjecture on replacing autonomous chains by antichains
Let $P$ be a finite connected poset with an autonomous subposet that is a chain $C_n$ , and let $A_1,\ldots,A_n$ be antichains replacing the elements of that chain. Nguyen's conject…
Conjectureopenh-polynomials poset-associahedra posetsarXiv posted 2 days ago
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General autonomous-chain recurrence for poset associahedra
General autonomous-chain recurrence.
Conjectureopennarayana-polynomials poset-associahedra real-rootednessarXiv posted 2 days ago
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Autonomous-subposet recurrence for poset associahedra
Autonomous-subposet recurrence.
Conjectureopengamma-positivity poset-associahedra real-rootednessarXiv posted 2 days ago

Nguyen's conjecture on replacing autonomous chains by antichains