First Results

The first target of the Rectilinear Crossing Number project is completed. We have successfully computed the minimum crossing number of a straight-edge drawing of the complete graph of a set of 18 points in the plane: CR(18)=1029.

This is what this graph looks like.

Note that this drawing doesn't show a complete graph but only its structure. The reason is that one would not recognize anything if we had drawn all (18 choose 2) edges. This page is only a tentative version. The analysis of the "18"-results is still in progress and we will update this page as soon as we know more...



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