A new perspective on k-triangulations

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:118

Article

Stump, Christian

关键词: k-triangulation;    Triangulated sphere;    Enumerative combinatorics;    Pipe dream;    Schubert polynomial;   

DOI  :  10.1016/j.jcta.2011.03.001

来源: Elsevier

【 摘 要 】

We connect k-triangulations of a convex n-gon to the theory of Schubert polynomials. We use this connection to prove that the simplicial complex with k-triangulations as facets is a vertex-decomposable triangulated sphere, and we give a new proof of the determinantal formula for the number of k-triangulations. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free