TOPCOM: Triangulations of point configurations and oriented matroids. TOPCOM is a package for computing triangulations of point configurations and oriented matroids. For example, for a point configuration one can compute the chirotope, components of the flip graph of triangulations, enumerate all triangulations. The core algorithms implemented in TOPCOM are described, and implentation issues are discussed.

References in zbMATH (referenced in 53 articles , 2 standard articles )

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  1. Assarf, Benjamin; Joswig, Michael; Pfeifle, Julian: Webs of stars or how to triangulate free sums of point configurations (2018)
  2. Jordan, Charles; Joswig, Michael; Kastner, Lars: Parallel enumeration of triangulations (2018)
  3. Joswig, Michael; Kastner, Lars: New counts for the number of triangulations of cyclic polytopes (2018)
  4. Seacrest, Tyler; Su, Francis Edward: A lower bound technique for triangulations of simplotopes (2018)
  5. Breuer, Felix; Zafeirakopoulos, Zafeirakis: Polyhedral omega: a new algorithm for solving linear Diophantine systems (2017)
  6. Long, Cody; McAllister, Liam; Stout, John: Systematics of axion inflation in Calabi-Yau hypersurfaces (2017)
  7. Toth, Csaba D. (ed.); Goodman, Jacob E. (ed.); O’Rourke, Joseph (ed.): Handbook of discrete and computational geometry (2017)
  8. Baker, Matthew; Len, Yoav; Morrison, Ralph; Pflueger, Nathan; Ren, Qingchun: Bitangents of tropical plane quartic curves (2016)
  9. Christophersen, Jan Arthur; Ilten, Nathan: Hilbert schemes and toric degenerations for low degree Fano threefolds (2016)
  10. Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Gärtner, Bernd: Efficient edge-skeleton computation for polytopes defined by oracles (2016)
  11. Fisikopoulos, Vissarion; Peñaranda, Luis: Faster geometric algorithms via dynamic determinant computation (2016)
  12. Müller, Stefan; Feliu, Elisenda; Regensburger, Georg; Conradi, Carsten; Shiu, Anne; Dickenstein, Alicia: Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry (2016)
  13. Altman, Ross; Gray, James; He, Yang-Hui; Jejjala, Vishnu; Nelson, Brent D.: A Calabi-Yau database: threefolds constructed from the Kreuzer-Skarke list (2015)
  14. Braun, A. P.; Watari, T.: The vertical, the horizontal and the rest: anatomy of the middle cohomology of Calabi-Yau fourfolds and F-theory applications (2015)
  15. Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd: Moduli of tropical plane curves (2015)
  16. Miyata, Hiroyuki; Padrol, Arnau: Enumerating neighborly polytopes and oriented matroids (2015)
  17. Long, Cody; Mcallister, Liam; Mcguirk, Paul: Heavy tails in Calabi-Yau moduli spaces (2014)
  18. Braun, Andreas P.; Watari, Taizan: On singular fibres in F-theory (2013)
  19. Corti, Alessio; Haskins, Mark; Nordström, Johannes; Pacini, Tommaso: Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds (2013)
  20. Dickenstein, Alicia; Emiris, Ioannis Z.; Fisikopoulos, Vissarion: Combinatorics of 4-dimensional resultant polytopes (2013)

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