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- W2952247243 abstract "A case-free proof is given that the entries of the $h$-vector of the cluster complex $Delta (Phi)$, associated by S. Fomin and A. Zelevinsky to a finite root system $Phi$, count elements of the lattice $nc$ of noncrossing partitions of corresponding type by rank. Similar interpretations for the $h$-vector of the positive part of $Delta (Phi)$ are provided. The proof utilizes the appearance of the complex $Delta (Phi)$ in the context of the lattice $nc$, in recent work of two of the authors, as well as an explicit shelling of $Delta (Phi)$." @default.
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- W2952247243 date "2006-02-14" @default.
- W2952247243 modified "2023-09-27" @default.
- W2952247243 title "h-vectors of generalized associahedra and non-crossing partitions" @default.
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