2 problems

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Chapoton's F–H triangle transformation conjecture for Dyck paths
Chapoton's conjecture. These polynomials are related by the invertible transformation
Conjecturesolvedassociahedra cluster-combinatorics dyck-pathsarXiv posted 2 days ago
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Reading's separation conjecture for cluster variables
Reading's separation conjecture. The variables $u$ and $u'$ are contained in the same cluster if and only if they are sign-coherent.
Conjectureopencluster-algebras cluster-combinatorics g-vectorsarXiv posted 2 days ago

Chapoton's F–H triangle transformation conjecture for Dyck paths