Open research areas in distance geometry

TL;DR

This paper introduces the field of Distance Geometry, focusing on the inverse problem of locating points in Euclidean space based on given distances, and highlights open research challenges and promising directions.

Contribution

It provides a concise overview of Distance Geometry and identifies key open problems and future research opportunities in the field.

Findings

Identifies open research problems in Distance Geometry.

Highlights promising future research directions.

Provides a brief overview of the field's challenges.

Abstract

Distance Geometry is based on the inverse problem that asks to find the positions of points, in a Euclidean space of given dimension, that are compatible with a given set of distances. We briefly introduce the field, and discuss some open and promising research areas.