J. Führer

activity

20222024

most citedProgressions in Euclidean Ramsey theory

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.CO2024

Caps and Wickets

Jakob Führer, Jozsef Solymosi

Let $H_{n}^{(3)}$ be a 3-uniform linear hypergraph, i.e. any two edges have at most one vertex common. A special hypergraph, {\em wicket}, is formed by three rows and two columns of…

math.CO2024

Non-spherical sets versus lines in Euclidean Ramsey theory

David Conlon, Jakob Führer

We show that for every non-spherical set $X$ in $E^{d}$ , there exists a natural number $m$ and a red/blue-colouring of $E^{n}$ for every $n$ such that there is no red…

math.CO2024★ 1 cited

Progressions in Euclidean Ramsey theory

Jakob Führer, Géza Tóth

Conlon and Wu showed that there is a red/blue-coloring of $E^{n}$ that does not contain $3$ red collinear points separated by unit distance and $m = 1 0^{50}$ blue collinear po…

math.CO2023

Maximal line-free sets in $F_{p}^{n}$

Christian Elsholtz, Jakob Führer, Erik Füredi +4

We study subsets of $F_{p}^{n}$ that do not contain progressions of length $k$ . We denote by $r_{k} (F_{p}^{n})$ the cardinality of such subsets containing a maximal number…

math.CO2022

Filling space with hypercubes of two sizes -- The pythagorean tiling in higher dimensions

Jakob Führer

We construct a unilateral lattice tiling of $R^{n}$ into hypercubes of two differnet side lengths $p$ or $q$ . This generalizes the Pythagorean tiling in $R^{2}$ . We a…

Caps and Wickets

Non-spherical sets versus lines in Euclidean Ramsey theory

Progressions in Euclidean Ramsey theory

Maximal line-free sets in Fpn​

Filling space with hypercubes of two sizes -- The pythagorean tiling in higher dimensions

Maximal line-free sets in $F_{p}^{n}$