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The maximum number of intersections of two polygons
Published 4 Jul 2012 in math.CO and cs.DM | (1207.0996v2)
Abstract: We investigate the maximum number of intersections between two polygons with p and q vertices, respectively, in the plane. The cases where p or q is even or the polygons do not have to be simple are quite easy and already known, but when p and q are both odd and both polygons are simple, the problem is more difficult. The conjectured maximum is (p-1)(q-1)+2 for all odd p and q.
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