English

Geometric structures in pseudo-random graphs

Combinatorics 2025-04-30 v1

Abstract

In this paper, we provide a general framework for counting geometric structures in pseudo-random graphs. As applications, our theorems recover and improve several results on the finite field analog of questions originally raised in the continuous setting. The results present interactions between discrete geometry, geometric measure theory, and graph theory.

Keywords

Cite

@article{arxiv.2208.04399,
  title  = {Geometric structures in pseudo-random graphs},
  author = {Thang Pham and Steven Senger and Michael Tait and Vu Thi Huong Thu},
  journal= {arXiv preprint arXiv:2208.04399},
  year   = {2025}
}
R2 v1 2026-06-25T01:34:48.543Z