70 search results - page 2 / 14 » On Convex Quadrangulations of Point Sets on the Plane |
COMPGEOM
2004
ACM
14 years 3 months ago
2004
ACM
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
DAM
2006
13 years 9 months ago
2006
To a set of n points in the plane, one can associate a graph that has less than n2 vertices and has the property that k-cliques in the graph correspond vertex sets of convex k-gon...
SIAMDM
2010
13 years 8 months ago
2010
We consider a variation of a problem stated by Erd˝os and Szekeres in 1935 about the existence of a number fES (k) such that any set S of at least fES (k) points in general posit...
CCCG
2006
13 years 11 months ago
2006
In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
FSTTCS
2007
Springer
14 years 4 months ago
2007
Springer
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...