simpcomp

simpcomp is a GAP package for working with simplicial complexes. It allows the computation of many properties of simplicial complexes (such as the f-, g- and h-vectors, the face lattice, the automorphism group, (co-)homology with explicit basis computation, intersection form, etc.) and provides the user with functions to compute new complexes from old (simplex links and stars, connected sums, cartesian products, handle additions, bistellar flips, etc.). Furthermore, it comes with an extensive library of known triangulations of manifolds and provides the user with the possibility to create own complex libraries. Extensive manual: http://simpcomp.googlecode.com/git/web/manual.pdf


References in zbMATH (referenced in 21 articles , 2 standard articles )

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  1. Burton, Benjamin A.; Datta, Basudeb; Singh, Nitin; Spreer, Jonathan: A construction principle for tight and minimal triangulations of manifolds (2018)
  2. Balagopalan, Sonia: On a vertex-minimal triangulation of $\mathbb R \mathrm P^4$ (2017)
  3. Katthän, Lukas: A non-Golod ring with a trivial product on its Koszul homology (2017)
  4. Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.): Handbook of discrete and computational geometry (2017)
  5. Bagchi, Bhaskar; Datta, Basudeb; Spreer, Jonathan: Tight triangulations of closed 3-manifolds (2016)
  6. Burton, Benjamin A.; Lewiner, Thomas; Paixão, João; Spreer, Jonathan: Parameterized complexity of discrete Morse theory (2016)
  7. Burton, Benjamin; Spreer, Jonathan: Combinatorial Seifert fibred spaces with transitive cyclic automorphism group (2016)
  8. Spreer, Jonathan: A necessary condition for the tightness of odd-dimensional combinatorial manifolds (2016)
  9. Adiprasito, Karim; Benedetti, Bruno: Tight complexes in 3-space admit perfect discrete Morse functions (2015)
  10. Singh, Nitin: Strongly minimal triangulations of $(S^3 \times S^1)^\#3$ and $(S^3 \utimes S^1)^\#3$ (2015)
  11. Spreer, Jonathan: Combinatorial 3-manifolds with transitive cyclic symmetry (2014)
  12. Datta, Basudeb; Singh, Nitin: An infinite family of tight triangulations of manifolds (2013)
  13. Bagchi, Bhaskar; Datta, Basudeb: A triangulation of $\Bbb CP ^3$ as symmetric cube of $S ^2$ (2012)
  14. Spreer, Jonathan: Partitioning the triangles of the cross polytope into surfaces (2012)
  15. Effenberger, Felix: Stacked polytopes and tight triangulations of manifolds (2011)
  16. Effenberger, Felix; Spreer, Jonathan: Simplicial blowups and discrete normal surfaces in \ssfsimpcomp (2011)
  17. Effenberger, Felix; Spreer, Jonathan: Simplicial blowups and discrete normal surfaces in simpcomp (2011) ioport
  18. Spreer, Jonathan: Normal surfaces as combinatorial slicings (2011)
  19. Spreer, Jonathan; Kühnel, Wolfgang: Combinatorial properties of the $K3$ surface: simplicial blowups and slicings (2011)
  20. Effenberger, Felix; Spreer, Jonathan: \ssfsimpcomp -- a GAP toolbox for simplicial complexes (2010)

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