Abstract
Let n (k, l) be the smallest integer such that any set of n (k, l) points in the plane, no three collinear, contains both an empty convex k -gon and an empty convex l -gon, which do not intersect. We show that n (3,5) = 10, 12 ≤ n (4,5) ≤ 14, 16 ≤ n (5,5) ≤ 20.
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© 2005 Springer-Verlag Berlin Heidelberg
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Hosono, K., Urabe, M. (2005). On the Minimum Size of a Point Set Containing Two Non-intersecting Empty Convex Polygons. 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_12
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DOI: https://doi.org/10.1007/11589440_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30467-8
Online ISBN: 978-3-540-32089-0
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