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Expansions of a chord diagram and alternating permutations

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Publication:907254
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zbMath1329.05029MaRDI QIDQ907254

Tomoki Nakamigawa

Publication date: 25 January 2016

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p7


zbMATH Keywords

chord diagramalternating permutationPtolemy's theorementringer number


Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05)


Related Items (4)

Enumeration problems on the expansion of a chord diagram ⋮ The expansion of a chord diagram and the Tutte polynomial ⋮ The expansion of a chord diagram and the Tutte polynomial ⋮ The expansion of a chord diagram and the Genocchi numbers



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Bijections for Entringer families
  • De nouvelles significations enumeratives des nombres d'Entringer
  • Two other interpretations of the Entringer numbers
  • A new operation on sequences: The boustrophedon transform
  • A Survey of Alternating Permutations
  • Increasing trees and alternating permutations


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