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Consecutive pattern avoidances in non-crossing trees

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Publication:607683
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DOI10.1007/s00373-010-0950-9zbMath1228.05041OpenAlexW2067442553MaRDI QIDQ607683

Yidong Sun, Zhiping Wang

Publication date: 3 December 2010

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-010-0950-9


zbMATH Keywords

Catalan numberpattern avoidanceSchröder pathnon-crossing tree


Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Enumeration in graph theory (05C30)


Related Items

A decomposition algorithm for noncrossing trees ⋮ A refinement of leaves on noncrossing trees ⋮ Decomposition and merging algorithms for noncrossing forests



Cites Work

  • Unnamed Item
  • Permutations and words counted by consecutive patterns
  • Analytic combinatorics of non-crossing configurations
  • Enumeration of noncrossing trees on a circle
  • Consecutive patterns in permutations
  • Descents in noncrossing trees
  • Bijections for ternary trees and non-crossing trees
  • Statistics on non-crossing trees
  • The patterns of permutations
  • 2-binary trees: bijections and related issues
  • Noncrossing trees and noncrossing graphs
  • Pattern Avoidance in Generalized Non-crossing Trees
  • Restricted permutations
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