13 search results - page 3 / 3 » On the rectilinear crossing number of complete graphs |
APPROX
2004
Springer
13 years 11 months ago
2004
Springer
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
GD
2004
Springer
13 years 11 months ago
2004
Springer
The no-three-in-line problem, introduced by Dudeney in 1917, asks for the maximum number of points in the n × n grid with no three points collinear. In 1951, Erd¨os proved that t...
GD
2007
Springer
13 years 11 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 ...