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arXiv · 2511.02313

Dot-product graphs in finite fields

Chengfei Xie·Gennian Ge
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Abstract

In this paper, we study the dot-product graphs in $\mathbb{F}_q^d$. We prove that if the size of the product of two adjacent sets is large enough, then the set of dot-product graphs has positive density. Our method is based on finite field Fourier analytic techniques.

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Chengfei Xie, Gennian Ge. 2025-11-04. Dot-product graphs in finite fields. https://arxiv.org/abs/2511.02313

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