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

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

2009-10-02

arxiv.org/abs/0910.0265v1

Electronic Journal of Combinatorics 17 (1) (2010), R72

Mathematics

Combinatorics

Scientific paper

In this article, we show that Loday's realization of the associahedron has
the the same center of gravity than 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.

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