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Bounds on point configurations determined by distances and dot products

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 نشر من قبل Steven Senger
 تاريخ النشر 2020
  مجال البحث
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We study a family of variants of ErdH 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.



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