Let R, B, and G be three disjoint sets of points in the plane such that the points of X = R ∪ B ∪ G are in general position. In this paper, we prove that we can draw three spanning geometric trees on R, on B, and on G such that every edge intersects at most three segments of each other tree. Then the number of intersections of the trees is at most 3|X|-9. A similar problem had been previously considered for two point sets. © Springer-Verlag Berlin Heidelberg 2003.
CITATION STYLE
Suzuki, K. (2003). On the number of intersections of three monochromatic trees in the plane. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2866, 261–272. https://doi.org/10.1007/978-3-540-44400-8_28
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