2 papers
math.CO2025
On Distinct Angles in the Plane
Sergei V. Konyagin, Jonathan Passant, Misha Rudnev
We prove that if points lie in convex position in the plane then they determine distinct angles, provided that the points do not lie on a common circle. This is d…
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…