Article ID Journal Published Year Pages File Type
4625002 Advances in Applied Mathematics 2010 19 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics