Planar graphs as L-intersection or L-contact graphs

  title={Planar graphs as L-intersection or L-contact graphs},
  author={Daniel Gonçalves and Lucas Isenmann and Claire Pennarun},
The x-intersection graphs are the graphs that have a representation as intersection graphs of axis parallel x shapes in the plane. A subfamily of these graphs are {x, |,−}-contact graphs which are the contact graphs of axis parallel x, |, and − shapes in the plane. We prove here two results that were conjectured by Chaplick and Ueckerdt in 2013. We show that planar graphs are x-intersection graphs, and that triangle-free planar graphs are {x, |,−}-contact graphs. These results are obtained by a… CONTINUE READING
This paper has been referenced on Twitter 4 times. VIEW TWEETS

Similar Papers

Loading similar papers…