131 search results - page 2 / 27 » Crossing Number and Weighted Crossing Number of Near-Planar ... |
COMGEO
2011
ACM
13 years 3 months ago
2011
ACM
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
JGT
2010
13 years 7 months ago
2010
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
STOC
2001
ACM
14 years 8 months ago
2001
ACM
We show that for every fixed ? there is a quadratic time algorithm that decides whether a given graph has crossing number at most and, if this is the case, computes a drawing of t...
SODA
2010
ACM
14 years 6 months ago
2010
ACM
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
MFCS
2004
Springer
14 years 1 months ago
2004
Springer
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 h...