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On the average rank of an element in a filter of the partition lattice

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Publication:1317456
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DOI10.1016/0097-3165(94)90038-8zbMath0795.05051OpenAlexW1965519323WikidataQ56157592 ScholiaQ56157592MaRDI QIDQ1317456

Konrad Engel

Publication date: 17 April 1994

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(94)90038-8


zbMATH Keywords

rank functionpartition latticecolouring monotonicity


Mathematics Subject Classification ID

Partitions of sets (05A18) Combinatorics of partially ordered sets (06A07) Coloring of graphs and hypergraphs (05C15)


Related Items

Engel's inequality for Bell numbers ⋮ Unnamed Item ⋮ Log-convexity and strong \(q\)-\(\log\)-convexity for some triangular arrays ⋮ A criterion for the log-convexity of combinatorial sequences ⋮ Unnamed Item ⋮ Proofs of some conjectures on monotonicity of number-theoretic and combinatorial sequences ⋮ On the log-convexity of combinatorial sequences ⋮ A Turán-type inequality for the gamma function ⋮ Unnamed Item



Cites Work

  • On a problem of Rota
  • A Generalized Rota Conjecture for Partitions
  • Stirling Behavior is Asymptotically Normal
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