Polytopes

Latest research

1. Approximating the Volume of a Truncated Relaxation of the Independence Polytope

   • Ferenc Bencs
   • Guus Regts

   in Discrete & Computational Geometry

   Article Open access 28 February 2026

2. Dual-plane taller-than-wide definition for thyroid nodules: comparative analysis across TIRADS

   • Yu Zhuang
   • Jiamin Chen
   • Xin Wen

   in European Radiology

   Article 28 February 2026

   

3. Constructions of \(\bar{3}\)-separable codes with length 4

   • Caihong Zhao
   • Jing Jiang

   in Cryptography and Communications

   Article 28 February 2026

4. Small Triangulations of 4-Manifolds and the 4-Manifold Census

   • Rhuaidi Burke
   • Benjamin Burton
   • Jonathan Spreer

   in Discrete & Computational Geometry

   Article Open access 25 February 2026

   

5. Non-compact Riemann surfaces are equilaterally triangulable

   • Christopher J. Bishop
   • Lasse Rempe

   in Inventiones mathematicae

   Article Open access 25 February 2026

   

6. Pythagorean fuzzy set measures and the effects of scoring functions in multi-criteria decision-making

   • Jogjiban Chakraborty
   • Sathi Mukherjee
   • Laxminarayan Sahoo

   in International Journal of System Assurance Engineering and Management

   Article 24 February 2026

   

7. Conformally invariant boundary arcs in double dimers

   • Marcin Lis
   • Lucas Rey
   • Kieran Ryan

   in Probability Theory and Related Fields

   Article 24 February 2026

   

8. WEIGHTED POSETS AND THE ENRICHED MONOMIAL BASIS OF \(\varvec{\mathrm{QSym}}\)

   • E. A. Vassilieva
   • D. Grinberg

   in Journal of Mathematical Sciences

   Article 24 February 2026

   

9. A Polynomial Formula for the Perspective Four Points Problem

   • David Lehavi
   • Brian Osserman

   in International Journal of Computer Vision

   Article 21 February 2026

   

10. An equichordal characterization of the ellipsoid and the sphere

    • V. A. Aguilar-Arteaga
    • R. I. Ayala-Figueroa
    • E. Morales-Amaya

    in Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry

    Article 20 February 2026

    

11. The shape invariant of four-dimensional ellipsoids

    • Richard Hind
    • Jun Zhang

    in Mathematische Annalen

    Article Open access 18 February 2026

    

12. The Linear Parametrization of Two Dimensional Tori Families in the Restricted Three Body Problem

    • Ian M. Down
    • Kathleen C. Howell
    • Kyle T. Alfriend

    in The Journal of the Astronautical Sciences

    Article 17 February 2026

    

13. The Generalized Motzkin Family

    • Lin Yang
    • Zhi-Ling Yang
    • Sheng-Liang Yang

    in Graphs and Combinatorics

    Article 16 February 2026

    

14. On the surjunctivity and the Garden of Eden theorem for non-uniform cellular automata

    • Katariina Paturi
    • Jarkko Kari

    in Natural Computing

    Article Open access 14 February 2026

    

15. An Unexpected Class of 5+gon-free Line Patterns

    • Milena Harned
    • Iris R. Liebman

    in La Matematica

    Article 14 February 2026

    

16. Small solutions of ternary quadratic congruences with averaging over the moduli

    • Stephan Baier
    • Aishik Chattopadhyay

    in The Ramanujan Journal

    Article 14 February 2026

17. The number of maximal unrefinable partitions

    • Riccardo Aragona
    • Lorenzo Campioni
    • Roberto Civino

    in The Ramanujan Journal

    Article Open access 13 February 2026

    

18. Progress in the study of the (non)existence of genuinely unextendible product bases

    • Maciej Demianowicz

    in Quantum Information Processing

    Article 13 February 2026

    

19. The SuperCube: A Modular System for Periodic and Bounded Assemblies

    • Phillip C. Reiner

    in Nexus Network Journal

    Article Open access 12 February 2026

    

20. Facet-defining triangle inequalities for the quadratic linear ordering problem

    • Sven Mallach

    in Optimization Letters

    Article Open access 12 February 2026

    

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