Abstract

The crossing number of a graph G is the minimum number of edge-crossings over all drawings of G in the plane. Determining the crossing number of a graph is a well-known problem in combinatorics. One of its most studied variants is to restrict the minimum to all drawings of G whose edges are straight line segments. This minimum is known as the geometric crossing number of G. We determine the exact crossing number of centrally symmetric geometric drawings of the complete graph.

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