Planar Rectilinear Drawings of Outerplanar Graphs in Linear Time

06/12/2020

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by   Fabrizio Frati, et al.

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We show how to test in linear time whether an outerplanar graph admits a planar rectilinear drawing, both if the graph has a prescribed plane embedding that the drawing has to respect and if it does not. Our algorithm returns a planar rectilinear drawing if the graph admits one.