169 search results - page 6 / 34 » On Graph Crossing Number and Edge Planarization |
ALGORITHMICA
2011
14 years 4 months ago
2011
We show that computing the crossing number and the odd crossing number of a graph with a given rotation system is NP-complete. As a consequence we can show that many of the well-k...
JGT
2007
14 years 9 months ago
2007
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
98
Voted
SOFSEM
2005
Springer
15 years 3 months ago
2005
Springer
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one s...
94
Voted
ENDM
2008
14 years 9 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...
CORR
2008
Springer
14 years 9 months ago
2008
Springer
We provide linear-time algorithms for geometric graphs with sublinearly many crossings. That is, we provide algorithms running in O(n) time on connected geometric graphs having n ...