Christophe Hohlweg, Jonathan Lortie, Annie Raymond
Published 2009-10-02Version 1
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.
Journal: Electronic Journal of Combinatorics 17 (1) (2010), R72
The equivariant Ehrhart theory of the permutahedron
Facet-Hamiltonian cycles in the $B$-permutahedron
The equivariant volumes of the permutahedron
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