2 papers
math.CO2024
Unions of intervals in codes based on powers of sets
Thomas Karam
We prove that for every integer there exists a dense collection of subsets of such that no two of them have a symmetric difference that may be written as the t…
math.CO2024
Three applications of coverings to difference patterns
Thomas Karam
We show that a conceptually simple covering technique has surprisingly rich applications to density theorems and conjectures on patterns in sets involving set differences. These ap…