Triangle-Free Triangulations
Combinatorics
2009-01-28 v1 Group Theory
Abstract
The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group acts transitively on these triangulations by colored flips, and that the resulting colored flip graph is closely related to a lower interval in the weak order on . Lattice properties of this order are then applied to compute the diameter.
Cite
@article{arxiv.0901.4299,
title = {Triangle-Free Triangulations},
author = {Ron M. Adin and Marcelo Firer and Yuval Roichman},
journal= {arXiv preprint arXiv:0901.4299},
year = {2009}
}
Comments
18 pages