Skip to Main content Skip to Navigation
Conference papers

Multi-triangulations as complexes of star polygons

Abstract : A $k$-triangulation of a convex polygon is a maximal set of diagonals so that no $k+1$ of them mutually cross. $k$-triangulations have received attention in recent literature, with motivation coming from several interpretations of them. We present a new way of looking at $k$-triangulations, where certain star polygons naturally generalize triangles for $k$-triangulations. With this tool we give new, direct proofs of the fundamental properties of $k$-triangulations (number of edges, definition of flip). This interpretation also opens up new avenues of research that we briefly explore in the last section.
Complete list of metadata

Cited literature [11 references]  Display  Hide  Download
Contributor : Coordination Episciences Iam Connect in order to contact the contributor
Submitted on : Wednesday, August 19, 2015 - 11:44:15 AM
Last modification on : Thursday, March 17, 2022 - 10:08:37 AM
Long-term archiving on: : Friday, November 20, 2015 - 10:42:04 AM


Publisher files allowed on an open archive




Vincent Pilaud, Francisco Santos. Multi-triangulations as complexes of star polygons. 20th Annual International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2008), 2008, Viña del Mar, Chile. pp.319-330, ⟨10.46298/dmtcs.3642⟩. ⟨hal-01185178⟩



Record views


Files downloads