Associahedra Via Spines
Associahedra Via Spines
复制标题
通过刺的联合面体
作者：
C. Lange;Vincent Pilaud
An associahedron is a polytope whose vertices correspond to triangulations of a convex polygon and whose edges correspond to flips between them. Using labeled polygons, C. Hohlweg and C. Lange constructed various realizations of the associahedron with relevant properties related to the symmetric group and the permutahedron. We introduce the spine of a triangulation as its dual tree together with a labeling and an orientation. This notion extends the classical understanding of the associahedron via binary trees, introduces a new perspective on C. Hohlweg and C. Lange’s construction closer to J.-L. Loday’s original approach, and sheds light upon the combinatorial and geometric properties of the resulting realizations of the associahedron. It also leads to noteworthy proofs which shorten and simplify previous approaches.
子词复合体、簇复合体和广义多关联面体
影响因子：
0.8
作者：
Cesar Ceballos;Jean-Philippe Labbé;Christian Stump
通讯作者：
Christian Stump
影响因子：
1.1
作者：
Ceballos, Cesar;Santos, Francisco;Ziegler, Guenter M.
通讯作者：
Ziegler, Guenter M.