Line Sidon Sets
Miriam Patry, Audie Warren · Zenodo (CERN European Organization for Nuclear Research) · 2023
In this paper we define the notion of a line Sidon set, expanding the idea of Sidon sets in $\mathbb R$ to sets of lines in the real plane, where the operation under consideration is composition. We prove that any set of $n$ lines in the plane contains a line Sidon subset of size $n^{\frac{1}{3} + \frac{1}{24}}$, where $n^{\frac{1}{3}}$ represents the trivial lower bound given by a probabilistic argument.