Abstract
Let G be a graph without loops or multiple edges drawn in the plane. It is shown that, for any k, if G has at least C k n edges and n vertices, then it contains three sets of k 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 k edges in the set have a common vertex.
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Tardos, G., Tóth, G. (2005). Crossing Stars in Topological Graphs. In: Akiyama, J., Kano, M., Tan, X. (eds) Discrete and Computational Geometry. JCDCG 2004. Lecture Notes in Computer Science, vol 3742. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11589440_19
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DOI: https://doi.org/10.1007/11589440_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30467-8
Online ISBN: 978-3-540-32089-0
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