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Acute Constrains in Straight-Line Drawings of Planar Graphs

机译:Acute Constrains in Straight-Line Drawings of Planar Graphs

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摘要

Recent research on graph drawing focuses on Right-Angle-Crossing (RAC) drawings of 1-plane graphs, where each edge is drawn as a straight line and two crossing edges only intersect at right angles. We give a transformation from a restricted case of the RAC drawing problem to a problem of finding a straight-line drawing of a maximal plane graph where some angles are required to be acute. For a restricted version of the latter problem, we show necessary and sufficient conditions for such a drawing to exist, and design an O(n~2)-time algorithm that given an n-vertex plane graph produces a desired drawing of the graph or reports that none exists.

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