3 papers
math.CO2026
On the largest Sidon subset in a finite subset of
Alexandre Bailleul, Robin Riblet
We obtain a new lower bound on the largest Sidon subset of an arbitrary finite set of integers. If denotes the minimum, over all -element subsets of , of the l…
math.CO2025
Existence of a Sidon set for the distinct distance constant
Robin Riblet, Titien Schehr
We highlight a certain compactness of Sidon sets and -sets and provide several applications. Notably, we prove the existence of such sets that maximize certain functions. I…
math.CO2022
Sidon sets in a union of intervals
Robin Riblet
We study the maximum size of Sidon sets in unions of integers intervals. If is the union of two intervals and if (where $\left| A \right…