Sciweavers

MFCS
2004
Springer

Crossing Number Is Hard for Cubic Graphs

13 years 9 months ago
Crossing Number Is Hard for Cubic Graphs
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 high degrees. We prove here that it is NP-hard to determine the crossing number of a simple cubic graph. In particular, this implies that the minor-monotone version of crossing number is also NP-hard, which has been open till now.
Petr Hlinený
Added 02 Jul 2010
Updated 02 Jul 2010
Type Conference
Year 2004
Where MFCS
Authors Petr Hlinený
Comments (0)