论文标题
由距离和点产品确定的点配置的界限
Bounds on point configurations determined by distances and dot products
论文作者
论文摘要
我们研究了ERD \ H OS单位距离问题的一个变体家族，涉及从大量有限点集中选择的点之间的距离和点产品。具体而言，鉴于$ n $ n $ e $的大量有限集$ e $，我们寻找$ k $点的子集的界限，以满足基于距离或点产品的点对之间的一组关系。我们调查了该地区最近的一些工作，并介绍了几个新的，更多的界限家庭。
We study a family of variants of Erd\H os' unit distance problem, concerning distances and dot products between pairs of points chosen from a large finite point set. Specifically, given a large finite set of $n$ points $E$, we look for bounds on how many subsets of $k$ points satisfy a set of relationships between point pairs based on distances or dot products. We survey some of the recent work in the area and present several new, more general families of bounds.
