19 search results - page 1 / 4 » On crossing numbers of geometric proximity graphs |
COMGEO
2011
ACM
12 years 11 months ago
2011
ACM
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
CCCG
2010
13 years 6 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...
COMPGEOM
2010
ACM
13 years 9 months ago
2010
ACM
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
ENDM
2008
13 years 4 months ago
2008
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...
GD
2009
Springer
13 years 7 months ago
2009
Springer
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...