Cover Image

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

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Kupperschmitt, Maël, Liberti, Leo
Format:	Preprint
Published:	2025
Subjects:	Computational Complexity Computational Geometry Metric Geometry
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Time complexity of the Analyst's Traveling Salesman algorithm
by: Ramirez, Anthony, et al.
Published: (2022)

Undecidability of Translational Tiling with Three Tiles
by: Yang, Chan, et al.
Published: (2024)

Translational Aperiodic Sets of 7 Polyominoes
by: Yang, Chao, et al.
Published: (2024)

Generalized minimum 0-extension problem and discrete convexity
by: Dvorak, Martin, et al.
Published: (2021)

Undecidability of Translational Tiling of the 4-dimensional Space with a Set of 4 Polyhypercubes
by: Yang, Chao, et al.
Published: (2024)

Undecidability of tiling the plane with a fixed number of Wang bars
by: Yang, Chao, et al.
Published: (2024)

A proof of Ollinger's conjecture: undecidability of tiling the plane with a set of $8$ polyominoes
by: Yang, Chao, et al.
Published: (2024)

Undecidability of Translational Tiling of the 3-dimensional Space with a Set of 6 Polycubes
by: Yang, Chao, et al.
Published: (2024)

NP-completeness of Tiling Finite Simply Connected Regions with a Fixed Set of Wang Tiles
by: Yang, Chao, et al.
Published: (2024)

An Angle-Based Algorithmic Framework for the Interval Discretizable Distance Geometry Problem
by: da Rocha, Wagner A. A., et al.
Published: (2025)

A Reshetnyak type theorem for quasiregular values on Carnot groups of $H$-type
by: Zhong, Deguang
Published: (2025)

Detecting fast vanishing loops in complex-analytic germs (and detecting germs that are inner metrically conical)
by: Kerner, Dmitry, et al.
Published: (2024)

Certifying Euclidean Sections and Finding Planted Sparse Vectors Beyond the $\sqrt{n}$ Dimension Threshold
by: Guruswami, Venkatesan, et al.
Published: (2024)

Superforms, supercurrents and convex geometry
by: Berndtsson, Bo
Published: (2025)

Sharp systolic inequalities for Kähler manifolds
by: Tsiamis, Raphael
Published: (2026)

Uniform diameter estimates for Kaehler metrics in big cohomology classes
by: Nguyen, Duc-Bao, et al.
Published: (2024)

Gromov hyperbolicity of intrinsic metrics from isoperimetric inequalities
by: Wang, Tianqi, et al.
Published: (2024)

The Mabuchi geometry of low energy classes
by: Darvas, Tamás
Published: (2021)

Deforming the weighted-homogeneous foliation, and trivializing families of semi-weighted homogeneous ICIS
by: Kerner, Dmitry, et al.
Published: (2024)

Approximating Gromov-Hausdorff Distance in Euclidean Space
by: Majhi, Sushovan, et al.
Published: (2019)

Software for the Thompson and Funk Polygonal Geometry
by: Banerjee, Hridhaan, et al.
Published: (2025)

Gromov hyperbolicity II: Dimension-free inner uniform estimates for quasigeodesics
by: Guo, Chang-Yu, et al.
Published: (2025)

Gromov hyperbolicity III: an improved geometric characterization and its applications
by: Guo, Chang-Yu, et al.
Published: (2025)

Analytic and quasiregular distortion of Nagata dimension
by: Garg, Manisha, et al.
Published: (2026)

Quasiregular values from generalized manifold with controlled geometry
by: Zhong, Deguang
Published: (2026)

Any six points on the Riemann sphere can be split into three pairs by a triple of disjoint discs
by: Smirnov, Matvey
Published: (2026)

A geometric property of quadrilaterals
by: Garitsis, Efstathios Konstantinos Chrontsios, et al.
Published: (2023)

Local and global notions of visibility with respect to Kobayashi distance, a comparison
by: Nikolov, Nikolai, et al.
Published: (2022)

Large disks touching three sides of a quadrilateral
by: Rodriguez, Alex
Published: (2024)

The Quantitative Fractional Helly theorem
by: Frankl, Nóra, et al.
Published: (2024)

The metric Menger problem
by: Baligács, Júlia, et al.
Published: (2024)

Distinct Distances Between a Line and Strip
by: Das, Sanjana, et al.
Published: (2025)

Equichordal Points of Convex Bodies
by: Jang, Leo, et al.
Published: (2025)

Characterizations of infinite circle patterns and convex polyhedra in hyperbolic 3-space
by: Ge, Huabin, et al.
Published: (2025)

On $\ell_p$-Vietoris-Rips complexes
by: Ivanov, Sergei O., et al.
Published: (2024)

Distance geometry with and without the graph
by: Liberti, Leo, et al.
Published: (2024)

Log-Lipschitz and Hölder regularity imply smoothness for complex analytic sets
by: Sampaio, José Edson
Published: (2024)

$L_1$-distortion of Earth Mover Distances and Transportation Cost Spaces on High Dimensional Grids
by: Gartland, Chris, et al.
Published: (2026)

The Heinonen-Semmes problems after thirty years
by: David, Guy C., et al.
Published: (2025)

Lipschitz Decompositions of Finite $\ell_{p}$ Metrics
by: Krauthgamer, Robert, et al.
Published: (2025)