Drawing Cubic Graphs with the Four Basic Slopes

  • Padmini Mukkamala
  • Dömötör Pálvölgyi
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7034)

Abstract

We show that every cubic graph can be drawn in the plane with straight-line edges using only the four basic slopes, {0,π/4,π/2,3π/4}. We also prove that four slopes have this property if and only if we can draw K 4 with them.

Keywords

Planar Graph Hamiltonian Cycle Slope Parameter Common Neighbor Outerplanar Graph 
These 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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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Padmini Mukkamala
    • 1
  • Dömötör Pálvölgyi
    • 1
  1. 1.McDaniel CollegeBudapest and Eötvös UniversityBudapestHungary

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