Noncommutative enumeration in graded posets

DOI10.1023/A:1008703300280zbMath0971.05005OpenAlexW2009479830MaRDI QIDQ5926290

Liu, Niandong, Billera, Louis J.

Publication date: 28 February 2001

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008703300280

zbMATH Keywords

\({\mathbf c}{\mathbf d}\)-indexcoalgebraEulerian posetsFibonacciflag-enumerationgraded posetsodd jumpspolytopes

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorics of partially ordered sets (06A07) Algebraic combinatorics (05E99)

Related Items

Random walks on quasisymmetric functions, Classification of the factorial functions of Eulerian binomial and Sheffer posets, Peak quasisymmetric functions and Eulerian enumeration, Balanced and Bruhat graphs, Multigraded combinatorial Hopf algebras and refinements of odd and even subalgebras., Non-negative cd-coefficients of Gorenstein* posets., Signs in the 𝑐𝑑-index of Eulerian partially ordered sets, Linear inequalities for flags in graded partially ordered sets, Linear inequalities for enumerating chains in partially ordered sets, Structure of the Malvenuto-Reutenauer Hopf algebra of permutations, Decomposable compositions, symmetric quasisymmetric functions and equality of ribbon Schur functions, Coproducts and the cd-index, The 𝑐𝑑-index: A survey, Flag vectors of Eulerian partially ordered sets, Noncommutative Pieri operators on posets, Homology of Newtonian coalgebras.

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