论文标题
伪随机图中的几何结构
Geometric structures in pseudo-random graphs
论文作者
论文摘要
在本文中,我们提供了一个通用框架,用于计算伪随机图中的几何结构。作为应用程序,我们的定理恢复并改善了最初在连续环境中提出的问题的有限字段类似物的几个结果。结果呈现离散几何形状,几何测量理论和图理论之间的相互作用。
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.