The Number of Edges in k-Quasi-planar Graphs

A graph drawn in the plane is called k-quasi-planar if it does not contain k pairwise crossing edges. It has been conjectured for a long time that for every fixed k, the maximum number of edges of a k-quasi-planar graph with n vertices is O(n). The best known upper bound is n(log n)[superscript O(lo...

Full description

Bibliographic Details
Main Authors: Fox, Jacob (Contributor), Suk, Andrew (Contributor), Pach, Janos (Author)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Society for Industrial and Applied Mathematics, 2013-07-18T15:24:03Z.
Subjects:
Online Access:Get fulltext