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Abstract: Let G be a graph that may be drawn in the plane in such a way that allinternal faces are centrally symmetric convex polygons. We show how to find adrawing of this type that maximizes the angular resolution of the drawing, theminimum angle between any two incident edges, in polynomial time, by reducingthe problem to one of finding parametric shortest paths in an auxiliary graph.The running time is at most Ot^3, where t is a parameter of the input graphthat is at most On but is more typically proportional to n^.5.



Author: David Eppstein, Kevin A. Wortman

Source: https://arxiv.org/



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