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Titlebook: Discrete and Computational Geometry; Japanese Conference, Jin Akiyama,Mikio Kano,Xuehou Tan Conference proceedings 2005 Springer-Verlag Ber

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Crossing Stars in Topological Graphs,t contains three sets of . edges, such that every edge in any of the sets crosses all edges in the other two sets. Furthermore, two of the three sets can be chosen such that all . edges in the set have a common vertex.
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Surgical Treatment of Secondary Tremorive explicit examples to show that this bound is tight. We describe the connection this problem has to the problem of obtaining lower bounds on the number of ordinary points in arrangements of not all coincident, not all parallel lines, and show that there must be at least . such points.
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Thomas Wichmann,Jerrold L. Viteke .-simplices that seem to be known for . ≥ 3 have .=. ., . ≥ 2. We prove, using eigenvalues, that there are no 2-reptile simplices of dimensions . ≥ 3. This investigation has been motivated by a probabilistic packet marking problem in theoretical computer science, introduced by Adler in 2002.
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