Jakob Führer

collaborators

5 papers

math.CO2025

Additive structure in convex sets

Thomas F. Bloom, Jakob FÃ¼hrer, Oliver Roche-Newton

This paper considers some different measures for how additively structured a convex set can be. The main result gives a construction of a convex set $A$ containing $I^c ◯ (∣ A ∣^{3/2})$ …

math.CO2024

Progressions in Euclidean Ramsey theory

Jakob FÃ¼hrer, GÃ©za TÃ³th

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.CO2024

Caps and Wickets

Jakob FÃ¼hrer, 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 FÃ¼hrer

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

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

Christian Elsholtz, Jakob FÃ¼hrer, Erik FÃ¼redi +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…

Additive structure in convex sets

Progressions in Euclidean Ramsey theory

Caps and Wickets

Non-spherical sets versus lines in Euclidean Ramsey theory

Maximal line-free sets in Fpn​

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