33 search results - page 3 / 7 » On the Chromatic Number of Intersection Graphs of Convex Set... |
FSTTCS
2007
Springer
14 years 1 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...
CCCG
2010
13 years 9 months ago
2010
We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the follo...
SODA
2003
ACM
13 years 9 months ago
2003
ACM
We prove a lower bound of 0.3288 n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
CORR
2007
Springer
13 years 7 months ago
2007
Springer
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
ESA
2003
Springer
14 years 25 days ago
2003
Springer
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...