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A proof of the crossing number of K 3 , n in a surface

Pak Tung Ho — 2007

Discussiones Mathematicae Graph Theory

In this note we give a simple proof of a result of Richter and Siran by basic counting method, which says that the crossing number of K 3 , n in a surface with Euler genus ε is ⎣n/(2ε+2)⎦ n - (ε+1)(1+⎣n/(2ε+2)⎦).

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