J. Pach

collaborators

2 papers

math.MG2025

Two nearly equal distances in $R^{d}$

P. ErdÅs, E. Makai, J. Pach

A point set $P \subset R^{d}$ is {\it separated} if the minimum distance between any two points in $P$ is at least $1$ . For $d \neq = 4, 5,$ we determine, for every $t_1,t_2 \ge…

math.CO2025

Monochromatic configurations on a circle

GÃ¡bor DamÃ¡sdi, NÃ³ra Frankl, JÃ¡nos Pach +1

If we two-colour a circle, we can always find an inscribed triangle with angles $(\frac{I ¨}{} 7, \frac{2 I ¨ }{7}, \frac{4 I ¨ }{7})$ whose three vertices have the same colour. In fact, Bialo…

Two nearly equal distances in Rd

Monochromatic configurations on a circle

Two nearly equal distances in $R^{d}$