A new perspective on k-triangulations
Combinatorics
2011-03-04 v2
Abstract
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.
Keywords
Cite
@article{arxiv.1009.4101,
title = {A new perspective on k-triangulations},
author = {Christian Stump},
journal= {arXiv preprint arXiv:1009.4101},
year = {2011}
}
Comments
7 pages, 3 figures, final version containing several improvements, to appear in J. Combin. Theory Ser. A