Posets of shuffles

DOI10.1016/0097-3165(88)90018-0zbMath0659.06001OpenAlexW2042008900MaRDI QIDQ1112072

Curtis Greene

Publication date: 1988

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(88)90018-0

zbMATH Keywords

generating functions for combinatorial invariantsposet of shuffles

Mathematics Subject Classification ID

Partial orders, general (06A06) Exact enumeration problems, generating functions (05A15) Semigroups in automata theory, linguistics, etc. (20M35)

Related Items (18)

Hochschild lattices and shuffle lattices ⋮ Möbius functions of lattices ⋮ On \(q\)-analogues of partially ordered sets ⋮ Computing orbits of the automorphism group of the subsequence poset \(B_{ m, n }\) ⋮ On posets of \(m\)-ary words ⋮ Shuffle lattices and bubble lattices ⋮ Chain decomposition and the flag \(f\)-vector. ⋮ Bubble lattices. I: Structure ⋮ Shuffle-compatible permutation statistics. II: The exterior peak set ⋮ Rodica Simion and shuffle posets ⋮ The Whitney duals of a graded poset ⋮ Why the characteristic polynomial factors ⋮ Interval stability and interval covering property in finite posets ⋮ Generalized noncrossing partitions and combinatorics of Coxeter groups ⋮ Left-modular elements of lattices ⋮ Flag-symmetry of the poset of shuffles and a local action of the symmetric group ⋮ Two generalizations of posets of shuffles ⋮ Shuffling lattices

Cites Work

• General methods of sequence comparison
• Supersolvable lattices
• Shellable and Cohen-Macaulay Partially Ordered Sets
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• Generating Functions for Bessel and Related Polynomials
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