3 papers
math.CO2026
A Complete Intersection Theorem for Large Permutation Groups
Nathan Keller, Andrey Kupavskii, Noam Lifshitz +1
A family of permutations is called -intersecting if any two permutations in the family agree on at least elements. We prove that there exists such that…
math.CO2026
Forbidden Intersection Theorems for Matrix Spaces
Esty Kelman, Nathan Lindzey, Ohad Sheinfeld
A family of matrices is {-intersection-free} if for all . A \em…
math.CO2025
The Forbidden Cross Intersection Problem for Permutations
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld
We prove the following, for a universal constant . Let and . Let be families of permutations such that no $Ï\…