Quasi-planar graphs have a linear number of edges

Pankaj K Agarwal,Boris Aronov,János Pach,Richard Pollack,Micha Sharir

doi:10.1007/bfb0021784

Quasi-planar graphs have a linear number of edges

Pankaj K Agarwal, Boris Aronov + Show 3 more

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https://doi.org/10.1007/bfb0021784

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Publication Date: Jan 1, 1996

Citations: 8

Affiliation: Duke University, Courant Institute of Mathematical Sciences, New York University, City College of New York, Hungarian Academy of Sciences, Tel Aviv University

#Linear Number Of Edges #Quasi-planar Graph + Show 3 more

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Abstract

A graph is called quasi-planar if it can be drawn in the plane so that no three of its edges are pairwise crossing. It is shown that the maximum number of edges of a quasi-planar graph with n vertices is O(n).KeywordsPlanar GraphChromatic NumberGraph EdgeGraph VertexCombinatorial GeometryThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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