A Note on Coloring Line Arrangements
نویسندگان
چکیده
We show that the lines of every arrangement of n lines in the plane can be colored with O( √ n/ log n) colors such that no face of the arrangement is monochromatic. This improves a bound of Bose et al. by a Θ( √ log n) factor. Any further improvement on this bound would also improve the best known lower bound on the following problem of Erdős: estimate the maximum number of points in general position within a set of n points containing no four collinear points.
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عنوان ژورنال:
- Electr. J. Comb.
دوره 21 شماره
صفحات -
تاریخ انتشار 2014