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 297 articles , 4 standard articles )

Showing results 1 to 20 of 297.
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. Portakal, Irem: On rigidity of toric varieties arising from bipartite graphs (2021)
  3. Becchi, Anna; Zaffanella, Enea: PPLite: zero-overhead encoding of NNC polyhedra (2020)
  4. Beck, Amir; Hallak, Nadav: On the convergence to stationary points of deterministic and randomized feasible descent directions methods (2020)
  5. Benincasa, Paolo; Parisi, Matteo: Positive geometries and differential forms with non-logarithmic singularities. I (2020)
  6. Bihan, Frédéric; Dickenstein, Alicia; Giaroli, Magalí: Lower bounds for positive roots and regions of multistationarity in chemical reaction networks (2020)
  7. Catanzaro, Daniele; Pesenti, Raffaele; Wolsey, Laurence: On the balanced minimum evolution polytope (2020)
  8. Colmenarejo, Laura; Galuppi, Francesco; Michałek, Mateusz: Toric geometry of path signature varieties (2020)
  9. Durell, Cassandra; Forcey, Stefan: Level-1 phylogenetic networks and their balanced minimum evolution polytopes (2020)
  10. Geiger, Alheydis: On realizability of lines on tropical cubic surfaces and the Brundu-Logar normal form (2020)
  11. Gupte, Akshay; Kalinowski, Thomas; Rigterink, Fabian; Waterer, Hamish: Extended formulations for convex hulls of some bilinear functions (2020)
  12. Hauenstein, Jonathan D.; Rodriguez, Jose Israel: Multiprojective witness sets and a trace test (2020)
  13. Hojny, Christopher; Gally, Tristan; Habeck, Oliver; Lüthen, Hendrik; Matter, Frederic; Pfetsch, Marc E.; Schmitt, Andreas: Knapsack polytopes: a survey (2020)
  14. Joswig, Michael; Panizzut, Marta; Sturmfels, Bernd: The Schläfli Fan (2020)
  15. Kastner, Lars; Löwe, Robert: The Newton polytope of the discriminant of a quaternary cubic form (2020)
  16. Klausen, René Pascal: Hypergeometric series representations of Feynman integrals by GKZ hypergeometric systems (2020)
  17. Loho, Georg; Schymura, Matthias: Tropical Ehrhart theory and tropical volume (2020)
  18. Morrison, Ralph: Tropical geometry (2020)
  19. Pineda-Villavicencio, Guillermo; Ugon, Julien; Yost, David: Polytopes close to being simple (2020)
  20. Shyamalkumar, Nariankadu D.; Tao, Siyang: On tail dependence matrices. The realization problem for parametric families (2020)

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