Spatial Graphs and Oriented Matroids: the Trefoil
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- Ramirez Alfonsin, J. Discrete Comput Geom (1999) 22: 149. doi:10.1007/PL00009446
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Let m=m(K) be the smallest positive integer such that every linearspatialrepresentation of the complete graph with n vertices, n ≥ m , contains either the knot K or its mirror . In this paper we show that m(Trefoil)=7 . The proof uses the theory of oriented matroids.