136 search results - page 12 / 28 » Crossing and Weighted Crossing Number of Near-Planar Graphs |
JCT
2007
14 years 11 months ago
2007
An edge in a drawing of a graph is called even if it intersects every other edge of the graph an even number of times. Pach and T´oth proved that a graph can always be redrawn so...
AI
2010
Springer
14 years 11 months ago
2010
Springer
We consider the problem of finding an unknown graph by using two types of queries with an additive property. Given a graph, an additive query asks the number of edges in a set of ...
COCOA
2007
Springer
15 years 5 months ago
2007
Springer
The Two-Sided Crossing Minimization (TSCM) problem calls for minimizing the number of edge crossings of a bipartite graph where the two sets of vertices are drawn on two parallel l...
GD
2007
Springer
15 years 5 months ago
2007
Springer
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
JCT
2007
14 years 11 months ago
2007
A topological graph is quasi-planar, if it does not contain three pairwise crossing edges. Agarwal et al. [2] proved that these graphs have a linear number of edges. We give a sim...