The expansion of a chord diagram and the Genocchi numbers

DOI10.26493/1855-3974.2239.7f1zbMath1464.05011OpenAlexW3025266871MaRDI QIDQ4988859

Tomoki Nakamigawa

Publication date: 19 May 2021

Published in: Ars Mathematica Contemporanea (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.26493/1855-3974.2239.7f1

zbMATH Keywords

chord diagramGenocchi numberSeidel trianglechord expansion

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10)

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Uses Software

• OEIS

Cites Work

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• On the evaluation of the Tutte polynomial at the points \((1, -1)\) and \((2, -1)\)
• Proof of a conjecture on Genocchi numbers
• Expansions of a chord diagram and alternating permutations
• The number of 0-1-2 increasing trees as two different evaluations of the Tutte polynomial of a complete graph
• Interpretations combinatoires des nombres de Genocchi
• Derangements and Genocchi numbers
• Yet another triangle for the Genocchi numbers
• A generalization of the Kreweras triangle through the universal \(\mathrm{sl}_{2}\) weight system
• Combinatorial interpretations of the Kreweras triangle in terms of subset tuples
• Remarks on the Vassiliev knot invariants coming from \(sl_ 2\)
• Sur une conjecture de Gandhi concernant les nombres de Genocchi
• A Combinatorial Interpretation of the Seidel Generation of Genocchi Numbers
• Une propriété de symétrie des nombres de Genocchi
• The expansion of a chord diagram and the Tutte polynomial