124 search results - page 3 / 25 » Crossing Number of Toroidal Graphs |
MFCS
2004
Springer
14 years 1 months ago
2004
Springer
It was proved by [Garey and Johnson, 1983] that computing the crossing number of a graph is an NP-hard problem. Their reduction, however, used parallel edges and vertices of very h...
CORR
2010
Springer
13 years 8 months ago
2010
Springer
Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their ...
COMGEO
2011
ACM
13 years 3 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...
COMPGEOM
2010
ACM
14 years 1 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 ...
COMPGEOM
2006
ACM
14 years 2 months ago
2006
ACM
A topological graph is called k-quasi-planar, if it does not contain k pairwise crossing edges. It is conjectured that for every fixed k, the maximum number of edges in a kquasi-...