The VC-dimension of random subsets of finite groups
Combinatorics
2025-06-18 v1 Number Theory
Probability
Abstract
For a random subset of a finite group of cardinality , we consider the VC-dimension of the family of its translates (equivalently the VC-dimension of a random Cayley graph) and prove a law of large numbers as . This answers a question of McDonald--Sahay--Wyman.
Cite
@article{arxiv.2506.14219,
title = {The VC-dimension of random subsets of finite groups},
author = {Brad Rodgers and Anurag Sahay},
journal= {arXiv preprint arXiv:2506.14219},
year = {2025}
}
Comments
15 pages