The centers of gravity of the associahedron and of the permutahedron are the same

Hohlweg, Christophe; Lortie, Jonathan et Raymond, Annie (2010). « The centers of gravity of the associahedron and of the permutahedron are the same ». The electronic journal of combinatorics, 17(1), pp. 1-14.

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Résumé

In this article, we show that Loday’s realization of the associahedron has the the same center of gravity as the permutahedron. This proves an observation made by F. Chapoton. We also prove that this result holds for the associahedron and the cyclohedron as realized by the first author and C. Lange.

Type:	Article de revue scientifique
Mots-clés ou Sujets:	associahedron, permutahedron
Unité d'appartenance:	Faculté des sciences > Département de mathématiques
Déposé par:	Christophe Hohlweg
Date de dépôt:	15 févr. 2016 15:03
Dernière modification:	20 avr. 2016 19:31
Adresse URL :	http://archipel.uqam.ca/id/eprint/7809

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