Bichromatic Lines with Few Points |
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Authors: | Jnos Pach Rom Pinchasi |
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Institution: | Hebrew University of Jerusalem, Jerusalem, Israelf1 |
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Abstract: | Given a set of n blue and n red points in the plane, not all on a line, it is shown that there exists a bichromatic line passing through at most two blue points and at most two red points. There does not necessarily exist a line passing through precisely one blue and one red point. This result is extended to the case when the number of blue and red points is not the same. |
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