136 search results - page 12 / 28 » Crossing and Weighted Crossing Number of Near-Planar Graphs |
JCT
2007
13 years 7 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
13 years 7 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
14 years 1 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
14 years 1 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
13 years 7 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...