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...

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Bibliographic Details
Main Authors: Fox, Jacob, Suk, Andrew, Pach, Janos
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:en_US
Published: Society for Industrial and Applied Mathematics 2013
Online Access:http://hdl.handle.net/1721.1/79615