42 search results - page 1 / 9 » Random triangulations of planar point sets |
COMPGEOM
2006
ACM
13 years 10 months ago
2006
ACM
Let S be a finite set of n + 3 points in general position in the plane, with 3 extreme points and n interior points. We consider triangulations drawn uniformly at random from the...
COMPGEOM
2010
ACM
13 years 9 months ago
2010
ACM
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
JCO
2010
13 years 3 months ago
2010
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
CCCG
2003
13 years 6 months ago
2003
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...
COMGEO
2004
ACM
13 years 4 months ago
2004
ACM
We show that the number of straight-edge triangulations exhibited by any set of n points in general position in the plane is bounded from below by (2.33n). 2004 Elsevier B.V. All ...