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The Centers of Gravity of the Associahedron and of the Permutahedron Are the Same by Hohlweg, Christophe; Lortie, Jonathan; Raymond, Annie is a scholarly article available to read on EtoBox.

What is The Centers of Gravity of the Associahedron and of the Permutahedron Are the Same about?

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.

Author

Hohlweg, Christophe; Lortie, Jonathan; Raymond, Annie

Published

2009

Language

EN