Quasi-planar graphs have a linear number of edges

  • Pankaj K. Agarwal
  • Boris Aronov
  • János Pach
  • Richard Pollack
  • Micha Sharir
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1027)


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).


Planar Graph Chromatic Number Graph Edge Graph Vertex Combinatorial Geometry 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Pankaj K. Agarwal
    • 1
  • Boris Aronov
    • 2
  • János Pach
    • 3
    • 4
    • 5
  • Richard Pollack
    • 4
  • Micha Sharir
    • 4
    • 6
  1. 1.Department of Computer ScienceDuke UniversityDurhamUSA
  2. 2.Computer and Information Science DepartmentPolytechnic UniversityBrooklynUSA
  3. 3.Department of Computer ScienceCity College, CUNYNew YorkUSA
  4. 4.Courant Institute of Mathematical SciencesNew York UniversityNew YorkUSA
  5. 5.Hungarian Academy of SciencesBudapestHungary
  6. 6.School of Mathematical SciencesTel Aviv UniversityTel AvivIsrael

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