Partitions with \(k\) crossings

DOI10.1023/A:1006901625470zbMath0933.05003OpenAlexW1571912376MaRDI QIDQ1306585

Miklós Bóna

Publication date: 4 April 2000

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1006901625470

zbMATH Keywords

generating functionCatalan numbersset partitioncounting problems

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Permutations, words, matrices (05A05)

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Analytic combinatorics of chord and hyperchord diagrams with \(k\) crossings ⋮ Counting pattern-free set partitions. I: A generalization of Stirling numbers of the second kind