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math.MG2004
On the geometric dilation of closed curves, graphs, and point sets
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar Grüne +2
The detour between two points u and v (on edges or vertices) of an embedded planar graph whose edges are curves is the ratio between the shortest path in in the graph between u and…
math.MG2003
Non-crossing frameworks with non-crossing reciprocals
David Orden, Guenter Rote, Francisco Santos +3
We study non-crossing frameworks in the plane for which the classical reciprocal on the dual graph is also non-crossing. We give a complete description of the self-stresses on non-…