polymake

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 306 articles , 4 standard articles )

Showing results 1 to 20 of 306.
Sorted by year (citations)

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  1. Allamigeon, Xavier; Benchimol, Pascal; Gaubert, Stéphane; Joswig, Michael: What tropical geometry tells us about the complexity of linear programming (2021)
  2. Balletti, Gabriele; Panizzut, Marta; Sturmfels, Bernd: (K3) polytopes and their quartic surfaces (2021)
  3. Blanco, M.; Haase, C.; Hofmann, J.; Santos, F.: The finiteness threshold width of lattice polytopes (2021)
  4. Dinu, Rodica; Vodička, Martin: Gorenstein property for phylogenetic trivalent trees (2021)
  5. Joswig, Michael; Tewari, Ayush Kumar: Forbidden patterns in tropical plane curves (2021)
  6. Krone, Robert; Kubjas, Kaie: Uniqueness of nonnegative matrix factorizations by rigidity theory (2021)
  7. Portakal, Irem: On rigidity of toric varieties arising from bipartite graphs (2021)
  8. Ring, Maren H.; Schüler, Robert: (f)-vectors of 3-polytopes symmetric under rotations and rotary reflections (2021)
  9. Zhang, Leon: Computing min-convex hulls in the affine building of (\mathrmSL_d) (2021)
  10. Becchi, Anna; Zaffanella, Enea: PPLite: zero-overhead encoding of NNC polyhedra (2020)
  11. Beck, Amir; Hallak, Nadav: On the convergence to stationary points of deterministic and randomized feasible descent directions methods (2020)
  12. Benincasa, Paolo; Parisi, Matteo: Positive geometries and differential forms with non-logarithmic singularities. I (2020)
  13. Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí: Lower bounds for positive roots and regions of multistationarity in chemical reaction networks (2020)
  14. Catanzaro, Daniele; Pesenti, Raffaele; Wolsey, Laurence: On the balanced minimum evolution polytope (2020)
  15. Colmenarejo, Laura; Galuppi, Francesco; Michałek, Mateusz: Toric geometry of path signature varieties (2020)
  16. Durell, Cassandra; Forcey, Stefan: Level-1 phylogenetic networks and their balanced minimum evolution polytopes (2020)
  17. Geiger, Alheydis: On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form (2020)
  18. Gupte, Akshay; Kalinowski, Thomas; Rigterink, Fabian; Waterer, Hamish: Extended formulations for convex hulls of some bilinear functions (2020)
  19. Hauenstein, Jonathan D.; Rodriguez, Jose Israel: Multiprojective witness sets and a trace test (2020)
  20. Hojny, Christopher; Gally, Tristan; Habeck, Oliver; Lüthen, Hendrik; Matter, Frederic; Pfetsch, Marc E.; Schmitt, Andreas: Knapsack polytopes: a survey (2020)

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