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 187 articles , 1 standard article )

Showing results 1 to 20 of 187.
Sorted by year (citations)

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  1. Assarf, Benjamin; Nill, Benjamin: A bound for the splitting of smooth Fano polytopes with many vertices (2016)
  2. Averkov, Gennadiy; Langfeld, Barbara: Homometry and direct-sum decompositions of lattice-convex sets (2016)
  3. Bruns, Winfried; Ichim, Bogdan; Söger, Christof: The power of pyramid decomposition in Normaliz (2016)
  4. Cantarella, Jason; Shonkwiler, Clayton: The symplectic geometry of closed equilateral random walks in 3-space (2016)
  5. Fang, Xin; Fourier, Ghislain: Marked chain-order polytopes (2016)
  6. Fisikopoulos, Vissarion; Peñaranda, Luis: Faster geometric algorithms via dynamic determinant computation (2016)
  7. Forcey, Stefan; Keefe, Logan; Sands, William: Facets of the balanced minimal evolution polytope (2016)
  8. Fourier, Ghislain: PBW-degenerated Demazure modules and Schubert varieties for triangular elements (2016)
  9. Fourier, Ghislain: Marked poset polytopes: Minkowski sums, indecomposables, and unimodular equivalence (2016)
  10. Friese, Erik; Ladisch, Frieder: Affine symmetries of orbit polytopes (2016)
  11. Gräbe, Hans-Gert: Semantic-aware fingerprints of symbolic research data (2016)
  12. 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)
  13. Hojny, Christopher; Pfetsch, Marc E.: A polyhedral investigation of star colorings (2016)
  14. Michałek, Mateusz; Miró-Roig, Rosa M.: Smooth monomial Togliatti systems of cubics (2016)
  15. Şahin, Mesut; Soprunov, Ivan: Multigraded Hilbert functions and toric complete intersection codes (2016)
  16. Schönemann, Hans: Extending singular with new types and algorithms (2016)
  17. Adiprasito, Karim; Benedetti, Bruno: Tight complexes in 3-space admit perfect discrete Morse functions (2015)
  18. Bogart, Tristram; Haase, Christian; Hering, Milena; Lorenz, Benjamin; Nill, Benjamin; Paffenholz, Andreas; Rote, Günter; Santos, Francisco; Schenck, Hal: Finitely many smooth $d$-polytopes with $n$ lattice points (2015)
  19. Braun, Oliver; Coulangeon, Renaud; Nebe, Gabriele; Schönnenbeck, Sebastian: Computing in arithmetic groups with Voronoï’s algorithm. (2015)
  20. Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd: Moduli of tropical plane curves (2015)

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