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 227 articles , 1 standard article )

Showing results 1 to 20 of 227.
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  1. Joswig, Michael; Schröter, Benjamin: The degree of a tropical basis (2018)
  2. Adiprasito, Karim A.; Benedetti, Bruno; Lutz, Frank H.: Extremal examples of collapsible complexes and random discrete Morse theory (2017)
  3. Assarf, Benjamin; Gawrilow, Ewgenij; Herr, Katrin; Joswig, Michael; Lorenz, Benjamin; Paffenholz, Andreas; Rehn, Thomas: Computing convex hulls and counting integer points with polymake (2017)
  4. Backhaus, Teodor; Fang, Xin; Fourier, Ghislain: Degree cones and monomial bases of Lie algebras and quantum groups (2017)
  5. Balagopalan, Sonia: On a vertex-minimal triangulation of $\mathbb R \mathrm P^4$ (2017)
  6. Balogh, József; Hu, Ping; Lidický, Bernard; Pfender, Florian; Volec, Jan; Young, Michael: Rainbow triangles in three-colored graphs (2017)
  7. Brodsky, Sarah B.; Ceballos, Cesar; Labbé, Jean-Philippe: Cluster algebras of type $D_4$, tropical planes, and the positive tropical Grassmannian (2017)
  8. Caruso, Xavier: Estimation of the dimensions of some Kisin varieties (2017)
  9. Feigin, Evgeny; Fourier, Ghislain; Littelmann, Peter: Favourable modules: filtrations, polytopes, Newton-Okounkov bodies and flat degenerations (2017)
  10. Fiebig, Ulf-Rainer; Strokorb, Kirstin; Schlather, Martin: The realization problem for tail correlation functions (2017)
  11. Hampe, Simon: The intersection ring of matroids (2017)
  12. Haxell, P.E.; Scott, A.D.: On lower bounds for the matching number of subcubic graphs (2017)
  13. Janko Boehm, Wolfram Decker, Simon Keicher, Yue Ren: Current Challenges in Developing Open Source Computer Algebra Systems (2017) arXiv
  14. Keicher, Simon; Kremer, Thomas: A test for monomial containment (2017)
  15. Lin, Bo; Sturmfels, Bernd; Tang, Xiaoxian; Yoshida, Ruriko: Convexity in tree spaces (2017)
  16. Rauh, Johannes: The polytope of $k$-star densities (2017)
  17. Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.): Handbook of discrete and computational geometry (2017)
  18. Veomett, Ellen; Tsukerman, Emmanuel: A general method to determine limiting optimal shapes for edge-isoperimetric inequalities (2017)
  19. Waki, Hayato; Nae, Florin: Boundary modeling in model-based calibration for automotive engines via the vertex representation of the convex hulls (2017)
  20. Warrington, Gregory S.: Orthogonal bases for transportation polytopes applied to Latin squares, magic squares and sudoku boards (2017)

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