Triangle-Free Triangulations

Details Triangle-Free Triangulations Triangle-Free Triangulations

2009-01-27

arxiv.org/abs/0901.4299v1

Mathematics

Combinatorics

18 pages

Scientific paper

The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group $\widetilde{C}_n$ 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 $\widetilde{C}_n$. Lattice properties of this order are then applied to compute the diameter.

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