On the rank polynomial of the lattice of order ideals of fences and crowns

DOI10.1016/S0012-365X(02)00378-3zbMath1020.06003MaRDI QIDQ1861210

Emanuele Munarini, Norma Zagaglia Salvi

Publication date: 16 March 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Chebyshev polynomialsfencesranked posetcrownsFibonacci numberLucas numberunimodal sequencesFibonacci latticerank polynomialWhitney numberlattice of order idealsLucas lattice

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics of partially ordered sets (06A07)

Related Items (12)

Sign-alternating Gibonacci polynomials ⋮ Ideal lattices of fence posets and rank unimodality ⋮ Rowmotion on fences ⋮ Catalan pairs: a relational-theoretic approach to Catalan numbers ⋮ On the probability that certain compositions have the same number of parts ⋮ Rowmotion on fences ⋮ On a rank-unimodality conjecture of Morier-Genoud and Ovsienko ⋮ On a rank-unimodality conjecture of Morier-Genoud and Ovsienko ⋮ On Whitney numbers of the order ideals of generalized fences and crowns ⋮ -DEFORMED RATIONALS AND -CONTINUED FRACTIONS ⋮ Structure and enumeration results of matchable Lucas cubes ⋮ Rank polynomials of fence posets are unimodal

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