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 42 articles , 2 standard articles )

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  1. Breuer, Felix; Zafeirakopoulos, Zafeirakis: Polyhedral omega: a new algorithm for solving linear Diophantine systems (2017)
  2. Baker, Matthew; Len, Yoav; Morrison, Ralph; Pflueger, Nathan; Ren, Qingchun: Bitangents of tropical plane quartic curves (2016)
  3. Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Gärtner, Bernd: Efficient edge-skeleton computation for polytopes defined by oracles (2016)
  4. Fisikopoulos, Vissarion; Peñaranda, Luis: Faster geometric algorithms via dynamic determinant computation (2016)
  5. 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)
  6. Brodsky, Sarah; Joswig, Michael; Morrison, Ralph; Sturmfels, Bernd: Moduli of tropical plane curves (2015)
  7. Miyata, Hiroyuki; Padrol, Arnau: Enumerating neighborly polytopes and oriented matroids (2015)
  8. Long, Cody; Mcallister, Liam; Mcguirk, Paul: Heavy tails in Calabi-Yau moduli spaces (2014)
  9. Braun, Andreas P.; Watari, Taizan: On singular fibres in F-theory (2013)
  10. Corti, Alessio; Haskins, Mark; Nordström, Johannes; Pacini, Tommaso: Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds (2013)
  11. Dickenstein, Alicia; Emiris, Ioannis Z.; Fisikopoulos, Vissarion: Combinatorics of 4-dimensional resultant polytopes (2013)
  12. Emiris, Ioannis Z.; Kalinka, Tatjana; Konaxis, Christos; Ba, Thang Luu: Implicitization of curves and (hyper)surfaces using predicted support (2013)
  13. Hibi, Takayuki (ed.): Gröbner bases. Statistics and software systems. Transl. from the Japanese (2013)
  14. Ilten, Nathan Owen; Lewis, Jacob; Przyjalkowski, Victor: Toric degenerations of Fano threefolds giving weak Landau-Ginzburg models (2013)
  15. Pournin, Lionel: The flip-graph of the 4-dimensional cube is connected (2013)
  16. Schepers, Jan; Van Langenhoven, Leen: Unimodality questions for integrally closed lattice polytopes (2013)
  17. Emiris, Ioannis Z.; Fisikopoulos, Vissarion; Konaxis, Christos; Peñaranda, Luis: An output-sensitive algorithm for computing projections of resultant polytopes (2012)
  18. Fisikopoulos, Vissarion; Peñaranda, Luis: Faster geometric algorithms via dynamic determinant computation (2012)
  19. O’Shea, Edwin; Sebö, András: Alternatives for testing total dual integrality (2012)
  20. Rambau, Jörg; Reiner, Victor: A survey of the higher Stasheff-Tamari orders (2012)

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