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Finite or discrete collections of geometric objects. Packings, tilings, polyhedra, polytopes, intersection, arrangements, rigidity.
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Is there any known upper bound for the local crossing number of a graph drawing in the plane?
There are constant-degree graphs with local crossing number $\Omega(m)$, where $m = |E(G)|$, for example constant-degree expander graphs (the crossing number of expander graphs is $\Omega(m^2)$, since …