34 search results - page 1 / 7 » Adding one edge to planar graphs makes crossing number hard |
COMPGEOM
2010
ACM
14 years 3 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 ...
ALGORITHMICA
2011
13 years 5 months ago
2011
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 diffe...
GD
2008
Springer
13 years 12 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...
ENDM
2008
13 years 11 months ago
2008
In this paper we study some connectivity augmentation problems. Given a connected graph G with some desirable property, we want to make G 2-vertex connected (or 2-edge connected) ...
DIALM
2003
ACM
14 years 4 months ago
2003
ACM
We propose a novel localized algorithm that constructs a bounded degree and planar spanner for wireless ad hoc networks modeled by unit disk graph (UDG). Every node only has to kn...