A note on the no-three-in-line problem on a torus

Autor: Stȩpień, Zofia, Misiak, Aleksander, Szymaszkiewicz, Alicja, Szymaszkiewicz, Lucjan, Zwierzchowski, Maciej
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper we show that at most $2 \gcd(m,n)$ points can be placed with no three in a line on an $m\times n$ discrete torus. In the situation when $\gcd(m,n)$ is a prime, we completely solve the problem.
Databáze: arXiv