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A linear operator approach to succession rules

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Publication:1601633
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DOI10.1016/S0024-3795(01)00584-5zbMath1003.05007MaRDI QIDQ1601633

Luca Ferrari, Renzo Pinzani

Publication date: 27 June 2002

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

generating functionsenumerative combinatoricsenumeration of combinatorial objects


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15)


Related Items

Avoiding cross-bifix-free binary words ⋮ Jumping succession rules and their generating functions ⋮ Production matrices and riordan arrays ⋮ Mixed succession rules: the commutative case ⋮ A history and a survey of lattice path enumeration ⋮ A distributive lattice structure connecting Dyck paths, noncrossing partitions and 312-avoiding permutations ⋮ Production matrices



Cites Work

  • Unnamed Item
  • The Riordan group
  • The number of Baxter permutations
  • Catalan-like numbers and determinants
  • An algebraic characterization of the set of succession rules
  • Recursive matrices and umbral calculus
  • Generating trees and forbidden subsequences
  • Generating trees and proper Riordan arrays
  • ECO:a methodology for the enumeration of combinatorial objects
  • Operator expansion in the derivative and multiplication byx
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