Graphical major indices

DOI10.1016/0377-0427(95)00254-5zbMath0856.05006OpenAlexW2042433727MaRDI QIDQ1919444

Doron Zeilberger, Foata, Dominique

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00254-5

zbMATH Keywords

digraphsinversionpermutation statisticsmajor indexbipartitional relation

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (9)

A ``verificative proof of a Foata-Zeilberger result on bipartitional relations ⋮ Lattices of regular closed subsets of closure spaces ⋮ The extended permutohedron on a transitive binary relation. ⋮ Graphical Mahonian statistics on words ⋮ Generalized Barred Preferential Arrangements ⋮ The poset of bipartitions ⋮ A classification of mahonian maj-inv statistics ⋮ Tree descent polynomials: unimodality and central limit theorem ⋮ A Fourier-theoretic perspective on the Condorcet paradox and Arrow's theorem.

Cites Work

• Permutation statistics of indexed permutations
• Eulerian calculus. I: Univariable statistics
• Eulerian calculus. II: An extension of Han's fundamental transformation
• The Euler-Mahonian distributions over the words
• Eulerian calculus. III: The ubiquitous Cauchy formula
• Bipartition orders and statistics on words
• A ``verificative proof of a Foata-Zeilberger result on bipartitional relations
• On the Netto Inversion Number of a Sequence
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Graphical major indices