# Exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle

## TL;DR

This paper establishes an exact upper bound for the sum of squared nearest-neighbor distances among points within a rectangular region, providing precise mathematical limits for this spatial measure.

## Contribution

It introduces a novel exact upper bound for the sum of squared nearest-neighbor distances in rectangles, advancing geometric analysis methods.

## Key findings

- Derived a precise mathematical upper bound
- Applicable to spatial analysis and geometric optimization
- Enhances understanding of point distribution in rectangles

## Abstract

An exact upper bound on the sum of squared nearest-neighbor distances between points in a rectangle is given.