3 papers
math.CO2025
On forbidden configurations in point-line incidence graphs
Martin Balko, Nóra Frankl
The celebrated Szemerédi--Trotter theorem states that the maximum number of incidences between points and lines in the plane is , which is asymptotically tight…
math.CO2025
Generalised ErdÅs distance theory on graphs
Sean Dewar, Nora Frankl, Samuel Mansfield +3
The famous ErdÅs distinct distances problem asks the following: how many distinct distances must exist between a set of points in the plane? There are many generalisations of…
math.CO2025
Monochromatic configurations on a circle
Gábor Damásdi, Nóra Frankl, János Pach +1
If we two-colour a circle, we can always find an inscribed triangle with angles whose three vertices have the same colour. In fact, Bialo…