polymake is open source software for research in polyhedral geometry. It deals with polytopes, polyhedra and fans as well as simplicial complexes, matroids, graphs, tropical hypersurfaces, and other objects. Supported platforms include various flavors of Linux, FreeBSD and Mac OS.

This software is also referenced in ORMS.

References in zbMATH (referenced in 328 articles , 4 standard articles )

Showing results 1 to 20 of 328.
Sorted by year (citations)

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  1. Adamaszek, Michał; Adams, Henry: On Vietoris-Rips complexes of hypercube graphs (2022)
  2. Catanzaro, Daniele; Frohn, Martin; Gascuel, Olivier; Pesenti, Raffaele: A tutorial on the balanced minimum evolution problem (2022)
  3. Clarke, Oliver; Higashitani, Akihiro; Mohammadi, Fatemeh: Combinatorial mutations and block diagonal polytopes (2022)
  4. Görlach, Paul; Ren, Yue; Zhang, Leon: Computing zero-dimensional tropical varieties via projections (2022)
  5. Jell, Philipp; Markwig, Hannah; Rincón, Felipe; Schröter, Benjamin: Moduli spaces of codimension-one subspaces in a linear variety and their tropicalization (2022)
  6. Kliem, Jonathan; Stump, Christian: A new face iterator for polyhedra and for more general finite locally branched lattices (2022)
  7. Nguyen, Danny; Pak, Igor: Short Presburger arithmetic is hard (2022)
  8. Panizzut, Marta; Vigeland, Magnus Dehli: Tropical lines on cubic surfaces (2022)
  9. Pfetsch, Marc E.; Rinaldi, Giovanni; Ventura, Paolo: Optimal patchings for consecutive ones matrices (2022)
  10. Sato, Hiroshi; Sumiyoshi, Ryota: Terminal toric Fano (3)-folds with numerical conditions (2022)
  11. Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael: What tropical geometry tells us about the complexity of linear programming (2021)
  12. Ardiyansyah, Muhammad; Kosta, Dimitra; Kubjas, Kaie: The model-specific Markov embedding problem for symmetric group-based models (2021)
  13. Balletti, Gabriele; Panizzut, Marta; Sturmfels, Bernd: (K3) polytopes and their quartic surfaces (2021)
  14. Blanco, M.; Haase, C.; Hofmann, J.; Santos, F.: The finiteness threshold width of lattice polytopes (2021)
  15. Corey, Daniel: Initial degenerations of Grassmannians (2021)
  16. Daum-Sadon, Inbar; Nivasch, Gabriel: Upper bounds for stabbing simplices by a line (2021)
  17. Dinu, Rodica; Vodička, Martin: Gorenstein property for phylogenetic trivalent trees (2021)
  18. Haase, Christian; Paffenholz, Andreas; Piechnik, Lindsey C.; Santos, Francisco: Existence of unimodular triangulations -- positive results (2021)
  19. Hahn, Marvin Anas; Markwig, Hannah; Ren, Yue; Tyomkin, Ilya: Tropicalized quartics and canonical embeddings for tropical curves of genus 3 (2021)
  20. Joswig, Michael: Essentials of tropical combinatorics (2021)

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Further publications can be found at: http://polymake.org/doku.php/publications