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arXiv · 2208.04399

Geometric structures in pseudo-random graphs

Thang Pham·Steven Senger·Michael Tait·Vu Thi Huong Thu
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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.

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Thang Pham, Steven Senger, Michael Tait, Vu Thi Huong Thu. 2022-08-08. Geometric structures in pseudo-random graphs. https://doi.org/10.4153/s0008414x24000245

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