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Let us suppose that a graph, Gn, has no triangle and the number of its edges is 4n. Prove that Cr(Gn) 2n. ** Use the

Let us suppose that a graph, Gn, has no triangle and the number of its edges is 4n.

Prove that Cr(Gn) 2n.

** Use the probabilistic method to give a better bound, Cr(Gn) 2.37n.

Cr is the crossing number

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