On the Number of Pseudo-Triangulations of Certain Point Sets

We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double circle and double chain. The latter has asymptotically 12nnΘ(1) pointed pseudo-triangulations, which lies significantly above the maximum number of triangulations in a planar point set known so far. © 2007 Elsevier Inc. All rights reserved.

• Type: Conference
• Year: 2003
• Where: CCCG
• Authors: Oswin Aichholzer, David Orden, Francisco Santos, Bettina Speckmann
• Keywords: CCCG 2003, CCCG 2007, Planar Point, Point Set, So-called Double Circle