On the $H$-triangle of generalised nonnesting partitions

With a crystallographic root system $\Phi$ , there are associated two Catalan objects, the set of nonnesting partitions $NN(\Phi)$, and the cluster complex $\Delta (\Phi)$. These possess a number of enumerative coincidences, many of which are captured in a surprising identity, first conjectured by C...

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Κύριος συγγραφέας:	Marko Thiel
Μορφή:	Artigo
Γλώσσα:	Inglês
Έκδοση:	Discrete Mathematics & Theoretical Computer Science 2014-01-01
Σειρά:	Discrete Mathematics & Theoretical Computer Science
Θέματα:	noncrossing partitions nonnesting partitions coxeter-catalan objects cluster complex [info.info-dm] computer science [cs]/discrete mathematics [cs.dm] [math.math-co] mathematics [math]/combinatorics [math.co]
Διαθέσιμο Online:	https://dmtcs.episciences.org/2382/pdf
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