Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4625002 | Advances in Applied Mathematics | 2010 | 19 Pages |
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