The posets Package. The posets package contains 41 Maple programs that provide an environment for computations involving partially ordered sets and related structures. The package is particularly useful for visualization of posets, for isomorphism testing, and for computing various poset invariants, such as Möbius functions or h-polynomials. Also included is a library containing all 19,449 posets with at most 8 vertices and all 7,372 lattices with at most 10 vertices--this is convenient for investigating questions of the form ”Which posets in class X satisfy property Y?”

References in zbMATH (referenced in 18 articles )

Showing results 1 to 18 of 18.
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  1. Barnard, Emily: The canonical join complex (2019)
  2. Liu, Fu; Tsuchiya, Akiyoshi: Stanley’s non-Ehrhart-positive order polytopes (2019)
  3. Reading, Nathan: Lattice homomorphisms between weak orders (2019)
  4. Barnard, Emily; Reading, Nathan: Coxeter-bicatalan combinatorics (2018)
  5. La Scala, Roberto; Tiwari, Sharwan K.: Multigraded Hilbert series of noncommutative modules (2018)
  6. Petersen, T. Kyle: A two-sided analogue of the Coxeter complex (2018)
  7. Rambau, Jörg; Reiner, Victor: A survey of the higher Stasheff-Tamari orders (2012)
  8. Clark, Timothy B. P.: Poset resolutions and lattice-linear monomial ideals (2010)
  9. Ragnarsson, Kári; Tenner, Bridget Eileen: Obtainable sizes of topologies on finite sets (2010)
  10. Armstrong, Drew: Generalized noncrossing partitions and combinatorics of Coxeter groups (2009)
  11. Blanco, Víctor; Puerto, Justo: Partial Gröbner bases for multiobjective integer linear optimization (2009)
  12. Hultman, Axel: Twisted identities in Coxeter groups. (2008)
  13. Chen, Yu; Kriloff, Cathy: Dominant regions in noncrystallographic hyperplane arrangements (2007)
  14. Incitti, Federico: More on the combinatorial invariance of Kazhdan-Lusztig polynomials (2007)
  15. Reading, Nathan: Lattice congruences of the weak order. (2004)
  16. Hultman, Axel: Bruhat intervals of length 4 in Weyl groups. (2003)
  17. Duval, Art M.; Reiner, Victor: Shifted simplicial complexes are Laplacian integral (2002)
  18. Brenti, F.: The applications of total positivity to combinatorics, and conversely (1996)