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

被引：0
|
作者：
Hohlweg, Christophe [1 ,2 ]
Lortie, Jonathan [1 ,2 ]
Raymond, Annie [3 ]
机构：
[1] Univ Quebec, LaCIM, Montreal, PQ H3C 3P8, Canada
[2] Univ Quebec, Dept Math, Montreal, PQ H3C 3P8, Canada
[3] Berlin Math Sch, D-10623 Berlin, Germany
来源：
ELECTRONIC JOURNAL OF COMBINATORICS | 2010年 / 17卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
GENERALIZED ASSOCIAHEDRA; SORTABLE ELEMENTS; CAMBRIAN LATTICES; REALIZATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页数：14
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