polymake is a tool to study the combinatorics and the geometry of convex polytopes and polyhedra. It is also capable of dealing with simplicial complexes, matroids, polyhedral fans, graphs, tropical objects, and other objects. Computer algebra system (CAS).

This software is also referenced in ORMS.

References in zbMATH (referenced in 204 articles , 1 standard article )

Showing results 1 to 20 of 204.
Sorted by year (citations)

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  1. Balagopalan, Sonia: On a vertex-minimal triangulation of $\mathbb R \mathrm P^4$ (2017)
  2. Brodsky, Sarah B.; Ceballos, Cesar; Labbé, Jean-Philippe: Cluster algebras of type $D_4$, tropical planes, and the positive tropical Grassmannian (2017)
  3. Hampe, Simon: The intersection ring of matroids (2017)
  4. Janko Boehm, Wolfram Decker, Simon Keicher, Yue Ren: Current Challenges in Developing Open Source Computer Algebra Systems (2017) arXiv
  5. Rauh, Johannes: The polytope of $k$-star densities (2017)
  6. Veomett, Ellen; Tsukerman, Emmanuel: A general method to determine limiting optimal shapes for edge-isoperimetric inequalities (2017)
  7. Assarf, Benjamin; Nill, Benjamin: A bound for the splitting of smooth Fano polytopes with many vertices (2016)
  8. Averkov, Gennadiy; Langfeld, Barbara: Homometry and direct-sum decompositions of lattice-convex sets (2016)
  9. Bruns, Winfried; Ichim, Bogdan; Söger, Christof: The power of pyramid decomposition in Normaliz (2016)
  10. Cantarella, Jason; Shonkwiler, Clayton: The symplectic geometry of closed equilateral random walks in 3-space (2016)
  11. Fang, Xin; Fourier, Ghislain: Marked chain-order polytopes (2016)
  12. Fisikopoulos, Vissarion; Peñaranda, Luis: Faster geometric algorithms via dynamic determinant computation (2016)
  13. Forcey, Stefan; Keefe, Logan; Sands, William: Facets of the balanced minimal evolution polytope (2016)
  14. Fourier, Ghislain: Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence (2016)
  15. Fourier, Ghislain: PBW-degenerated Demazure modules and Schubert varieties for triangular elements (2016)
  16. Friese, Erik; Ladisch, Frieder: Affine symmetries of orbit polytopes (2016)
  17. Gawrilow, Ewgenij; Hampe, Simon; Joswig, Michael: The \bfpolymake XML file format (2016)
  18. Gräbe, Hans-Gert: Semantic-aware fingerprints of symbolic research data (2016)
  19. Greuel, Gert-Martin (ed.); Koch, Thorsten (ed.); Paule, Peter (ed.); Sommese, Andrew (ed.): Mathematical software -- ICMS 2016. 5th international conference, Berlin, Germany, July 11--14, 2016. Proceedings (2016)
  20. Hojny, Christopher; Pfetsch, Marc E.: A polyhedral investigation of star colorings (2016)

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