On Saxe's theorems about the complexity of the Distance Geometry Problem

Fuente: arXiv
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Auteurs principaux: Kupperschmitt, Maël, Liberti, Leo
Format: Preprint
Publié: 2025
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author Kupperschmitt, Maël
Liberti, Leo
author_facet Kupperschmitt, Maël
Liberti, Leo
contents In 1979, James B.~Saxe published an extended summary on the complexity of the Distance Geometry Problem in the proceedings of the 17th Allerton Conference. Many of the proofs in his paper are sketches, and even the whole proofs do not have all the details. In this paper we provide a commentary to Saxe's results and hopefully more understandable versions thereof.
format Preprint
id arxiv_https___arxiv_org_abs_2602_00001
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On Saxe's theorems about the complexity of the Distance Geometry Problem
Kupperschmitt, Maël
Liberti, Leo
Computational Complexity
Computational Geometry
Metric Geometry
In 1979, James B.~Saxe published an extended summary on the complexity of the Distance Geometry Problem in the proceedings of the 17th Allerton Conference. Many of the proofs in his paper are sketches, and even the whole proofs do not have all the details. In this paper we provide a commentary to Saxe's results and hopefully more understandable versions thereof.
title On Saxe's theorems about the complexity of the Distance Geometry Problem
topic Computational Complexity
Computational Geometry
Metric Geometry
url https://arxiv.org/abs/2602.00001