119 search results - page 2 / 24 » Crossing numbers of imbalanced graphs |
SODA
2010
ACM
14 years 2 months ago
2010
ACM
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
STOC
2001
ACM
14 years 5 months ago
2001
ACM
We show that for every fixed ? there is a quadratic time algorithm that decides whether a given graph has crossing number at most and, if this is the case, computes a drawing of t...
GD
2008
Springer
13 years 6 months ago
2008
Springer
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
MFCS
2004
Springer
13 years 10 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 5 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 ...