On the Number of Monochromatic Lines in $$\pmb {\mathbb {R}}^d$$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science
Link
https://link.springer.com/content/pdf/10.1007/s00454-020-00210-2.pdf
Reference9 articles.
1. Beck, J.: On the lattice property of the plane and some problems of Dirac, Motzkin and Erdős in combinatorial geometry. Combinatorica 3(3–4), 281–297 (1983)
2. Borwein, P.: On monochrome lines and hyperplanes. J. Combin. Theory Ser. A 33(1), 76–81 (1982)
3. Borwein, P., Moser, W.O.J.: A survey of Sylvester’s problem and its generalizations. Aequ. Math. 40(2–3), 111–135 (1990)
4. Do, T.: Extending Erdős–Beck’s theorem to higher dimensions. Comput. Geom. 90, 101625 (2020)
5. Dvir, Z., Tessier-Lavigne, Ch.: A quantitative variant of the multi-colored Motzkin–Rabin theorem. Discrete Comput. Geom. 53(1), 38–47 (2015)
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