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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.17078 |
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| _version_ | 1866910625004781568 |
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| author | Chao, Ting-Wei Dong, Zichao Wu, Zhuo |
| author_facet | Chao, Ting-Wei Dong, Zichao Wu, Zhuo |
| contents | Let $P$ be a $2n$-point set in the plane that is in general position. We prove that every red-blue bipartition of $P$ into $R$ and $B$ with $|R| = |B| = n$ generates $Ω(n^{3/2})$ red-red-blue empty triangles. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17078 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Empty red-red-blue triangles Chao, Ting-Wei Dong, Zichao Wu, Zhuo Combinatorics 52C10 Let $P$ be a $2n$-point set in the plane that is in general position. We prove that every red-blue bipartition of $P$ into $R$ and $B$ with $|R| = |B| = n$ generates $Ω(n^{3/2})$ red-red-blue empty triangles. |
| title | Empty red-red-blue triangles |
| topic | Combinatorics 52C10 |
| url | https://arxiv.org/abs/2409.17078 |