Triangle-free triangulations

Ron M. Adin, Marcelo Firer, Yuval Roichman

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


The flip operation on colored inner-triangle-free triangulations of a convex polygon is studied. It is shown that the affine Weyl group over(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 over(C, ̃)n. Lattice properties of this order are then applied to compute the diameter.

Original languageEnglish
Pages (from-to)77-95
Number of pages19
JournalAdvances in Applied Mathematics
Issue number1
StatePublished - Jul 2010


  • Coxeter groups
  • Flips
  • Group actions
  • Hasse diagrams
  • Schreier graphs
  • Triangulations
  • Weak order


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