polymake

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 213 articles , 1 standard article )

Showing results 1 to 20 of 213.
Sorted by year (citations)

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  1. Adiprasito, Karim A.; Benedetti, Bruno; Lutz, Frank H.: Extremal examples of collapsible complexes and random discrete Morse theory (2017)
  2. Assarf, Benjamin; Gawrilow, Ewgenij; Herr, Katrin; Joswig, Michael; Lorenz, Benjamin; Paffenholz, Andreas; Rehn, Thomas: Computing convex hulls and counting integer points with polymake (2017)
  3. Balagopalan, Sonia: On a vertex-minimal triangulation of $\mathbb R \mathrm P^4$ (2017)
  4. Balogh, József; Hu, Ping; Lidický, Bernard; Pfender, Florian; Volec, Jan; Young, Michael: Rainbow triangles in three-colored graphs (2017)
  5. Brodsky, Sarah B.; Ceballos, Cesar; Labbé, Jean-Philippe: Cluster algebras of type $D_4$, tropical planes, and the positive tropical Grassmannian (2017)
  6. Fiebig, Ulf-Rainer; Strokorb, Kirstin; Schlather, Martin: The realization problem for tail correlation functions (2017)
  7. Hampe, Simon: The intersection ring of matroids (2017)
  8. Janko Boehm, Wolfram Decker, Simon Keicher, Yue Ren: Current Challenges in Developing Open Source Computer Algebra Systems (2017) arXiv
  9. Rauh, Johannes: The polytope of $k$-star densities (2017)
  10. Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.): Handbook of discrete and computational geometry (2017)
  11. Veomett, Ellen; Tsukerman, Emmanuel: A general method to determine limiting optimal shapes for edge-isoperimetric inequalities (2017)
  12. Warrington, Gregory S.: Orthogonal bases for transportation polytopes applied to Latin squares, magic squares and sudoku boards (2017)
  13. Assarf, Benjamin; Nill, Benjamin: A bound for the splitting of smooth Fano polytopes with many vertices (2016)
  14. Averkov, Gennadiy; Langfeld, Barbara: Homometry and direct-sum decompositions of lattice-convex sets (2016)
  15. Bruns, Winfried; Ichim, Bogdan; Söger, Christof: The power of pyramid decomposition in Normaliz (2016)
  16. Cantarella, Jason; Shonkwiler, Clayton: The symplectic geometry of closed equilateral random walks in 3-space (2016)
  17. Fang, Xin; Fourier, Ghislain: Marked chain-order polytopes (2016)
  18. Fisikopoulos, Vissarion; Peñaranda, Luis: Faster geometric algorithms via dynamic determinant computation (2016)
  19. Forcey, Stefan; Keefe, Logan; Sands, William: Facets of the balanced minimal evolution polytope (2016)
  20. Fourier, Ghislain: PBW-degenerated Demazure modules and Schubert varieties for triangular elements (2016)

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