K5 and K3,3 are Toroidal Penny Graphs
Abstract
In this article we emphasize on the connection between two fields of study that are Penny Graphs, and the Optimal Packing of Spheres on the Flat Torus. We give a brief litterature overview on related results in the fields of planar graphs, penny graphs, toroidal penny graphs and spherical codes.We also show that K5 and K3,3 are penny graphs on the flat square torus.
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