Empty red-red-blue triangles

Autor: Chao, Ting-Wei, Dong, Zichao, Wu, Zhuo
Rok vydání: 2024
Předmět:
Druh dokumentu: Working Paper
Popis: 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 $\Omega(n^{3/2})$ red-red-blue empty triangles.
Comment: 8 pages, 3 figures
Databáze: arXiv