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 314 articles , 4 standard articles )

Showing results 1 to 20 of 314.
Sorted by year (citations)

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  1. Panizzut, Marta; Vigeland, Magnus Dehli: Tropical lines on cubic surfaces (2022)
  2. Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael: What tropical geometry tells us about the complexity of linear programming (2021)
  3. Ardiyansyah, Muhammad; Kosta, Dimitra; Kubjas, Kaie: The model-specific Markov embedding problem for symmetric group-based models (2021)
  4. Balletti, Gabriele; Panizzut, Marta; Sturmfels, Bernd: (K3) polytopes and their quartic surfaces (2021)
  5. Blanco, M.; Haase, C.; Hofmann, J.; Santos, F.: The finiteness threshold width of lattice polytopes (2021)
  6. Corey, Daniel: Initial degenerations of Grassmannians (2021)
  7. Daum-Sadon, Inbar; Nivasch, Gabriel: Upper bounds for stabbing simplices by a line (2021)
  8. Dinu, Rodica; Vodička, Martin: Gorenstein property for phylogenetic trivalent trees (2021)
  9. Haase, Christian; Paffenholz, Andreas; Piechnik, Lindsey C.; Santos, Francisco: Existence of unimodular triangulations -- positive results (2021)
  10. Joswig, Michael; Tewari, Ayush Kumar: Forbidden patterns in tropical plane curves (2021)
  11. Krone, Robert; Kubjas, Kaie: Uniqueness of nonnegative matrix factorizations by rigidity theory (2021)
  12. Lofano, Davide; Newman, Andrew: The worst way to collapse a simplex (2021)
  13. Müller-Hermes, Alexander: Decomposable Pauli diagonal maps and tensor squares of qubit maps (2021)
  14. Portakal, Irem: On rigidity of toric varieties arising from bipartite graphs (2021)
  15. Ring, Maren H.; Schüler, Robert: (f)-vectors of 3-polytopes symmetric under rotations and rotary reflections (2021)
  16. Sano, Yuji: A polar dual to the momentum of toric Fano manifolds (2021)
  17. Zhang, Leon: Computing min-convex hulls in the affine building of (\mathrmSL_d) (2021)
  18. Becchi, Anna; Zaffanella, Enea: PPLite: zero-overhead encoding of NNC polyhedra (2020)
  19. Beck, Amir; Hallak, Nadav: On the convergence to stationary points of deterministic and randomized feasible descent directions methods (2020)
  20. Benincasa, Paolo; Parisi, Matteo: Positive geometries and differential forms with non-logarithmic singularities. I (2020)

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