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On Colourability of Polygon Visibility Graphs
Published 5 Jun 2019 in math.CO and cs.DM | (1906.01904v1)
Abstract: We study the problem of colouring visibility graphs of polygons. In particular, for visibility graphs of simple polygons, we provide a polynomial algorithm for 4-colouring, and prove that the 5-colourability question is already NP-complete for them. For visibility graphs of polygons with holes, we prove that the 4-colourability question is NP-complete.
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