posets swMATH ID: 7773 Software Authors: Stembridge, J.R Description: 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?” Homepage: http://www.math.lsa.umich.edu/~jrs/maple.html Related Software: coxeter; SF; OEIS; Maple; SageMath; Letterplace; ncHilb; SINGULAR; gfun; TOPCOM; GRIN; SYMMETRICA Cited in: 18 Documents all top 5 Cited by 21 Authors 3 Reading, Nathan 2 Barnard, Emily 2 Hultman, Axel 2 Reiner, Victor 1 Armstrong, Drew 1 Blanco, Víctor 1 Brenti, Francesco 1 Chen, Yu 1 Clark, Timothy B. P. 1 Duval, Art M. 1 Incitti, Federico 1 Kriloff, Cathy 1 La Scala, Roberto 1 Liu, Fu 1 Petersen, T. Kyle 1 Puerto Albandoz, Justo 1 Ragnarsson, Kári 1 Rambau, Jörg 1 Tenner, Bridget Eileen 1 Tiwari, Sharwan Kumar 1 Tsuchiya, Akiyoshi all top 5 Cited in 9 Serials 4 Journal of Combinatorial Theory. Series A 3 The Electronic Journal of Combinatorics 2 Journal of Algebra 2 Journal of Algebraic Combinatorics 1 Memoirs of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Order 1 SIAM Journal on Discrete Mathematics all top 5 Cited in 15 Fields 10 Combinatorics (05-XX) 8 Group theory and generalizations (20-XX) 6 Order, lattices, ordered algebraic structures (06-XX) 4 Convex and discrete geometry (52-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year