01poly

Remote computing services via e-mail. 0/1-Polytopes. By sending an e-mail to cggg@ist.tugraz.at with the following body: 01poly [OPTIONS] you get information about 01-polytopes of dimension 2-6 with desired properties. This information is obtained by a search in a database generated by complete enumeration. For more information see my publication No 21 Extremal Properties of 0/1-Polytopes of Dimension 5. The output includes the polytope(s) as bitvector (e.g. a 1 for every vertex of the set, order (0,..,0) to (1,..,1)), with additional information like the number of equivalence classes and their cardinalities. All known polytopes can immediately be accessed by their unique magic number.


References in zbMATH (referenced in 16 articles )

Showing results 1 to 16 of 16.
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  1. Balasubramanian, Krishnan: Computational combinatorics of hyperplane colorings of 6D-hypercube for all irreducible representations and applications (2020)
  2. Bohn, Adam; Faenza, Yuri; Fiorini, Samuel; Fisikopoulos, Vissarion; Macchia, Marco; Pashkovich, Kanstantsin: Enumeration of 2-level polytopes (2019)
  3. Paffenholz, Andreas: \textttpolyDB: a database for polytopes and related objects (2017)
  4. Fiorini, Samuel; Fisikopoulos, Vissarion; Macchia, Marco: Two-level polytopes with a prescribed facet (2016)
  5. Bohn, Adam; Faenza, Yuri; Fiorini, Samuel; Fisikopoulos, Vissarion; Macchia, Marco; Pashkovich, Kanstantsin: Enumeration of 2-level polytopes (2015)
  6. Cihangir, Apo: On (0/1)-polytopes with nonobtuse triangulations (2015)
  7. Chen, William Y. C.; Guo, Peter L.: Equivalence classes of full-dimensional 0/1-polytopes with many vertices (2014)
  8. Baumeister, Barbara; Haase, Christian; Nill, Benjamin; Paffenholz, Andreas: On permutation polytopes (2009)
  9. Werner, Axel: Linear constraints on face numbers of polytopes (2009)
  10. Gillmann, Rafael; Kaibel, Volker: Revlex-initial 0/1-polytopes (2006)
  11. Kaski, Petteri; Östergård, Patric R. J.: Classification algorithms for codes and designs (2006)
  12. Zong, Chuanming: What is known about unit cubes (2005)
  13. Kaibel, Volker: On the expansion of graphs of 0/1-polytopes (2004)
  14. Gawrilow, Ewgenij; Joswig, Michael: polymake: an approach to modular software design in computational geometry (2001)
  15. Aichholzer, Oswin: Extremal properties of 0/1-polytopes of dimension 5 (2000)
  16. Fleiner, Tamás; Kaibel, Volker; Rote, Günter: Upper bounds on the maximal number of facets of 0/1-polytopes (2000)