Geometric Graphs with Unbounded Flip-Width

06/22/2023

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by   David Eppstein, et al.

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We consider the flip-width of geometric graphs, a notion of graph width recently introduced by Toruńczyk. We prove that many different types of geometric graphs have unbounded flip-width. These include interval graphs, permutation graphs, circle graphs, intersection graphs of axis-aligned line segments or axis-aligned unit squares, unit distance graphs, unit disk graphs, visibility graphs of simple polygons, β-skeletons, 4-polytopes, rectangle of influence graphs, and 3d Delaunay triangulations.