Confirming the Kleitman-Winston conjecture on the largest coefficient in a \(q\)-Catalan number

DOI10.1006/jcta.1999.3054zbMath0968.05037OpenAlexW2067555633WikidataQ123028239 ScholiaQ123028239MaRDI QIDQ1841228

Jeong Han Kim, Boris G. Pittel

Publication date: 22 February 2001

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.1999.3054

zbMATH Keywords

\(q\)-Catalan numbertournament score sequences

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05) Directed graphs (digraphs), tournaments (05C20)

Related Items (4)

Classifying intrinsically linked tournaments by score sequence ⋮ On the Joint Path Length Distribution in Random Binary Trees ⋮ Unnamed Item ⋮ Local asymptotics for the area of random walk excursions

Cites Work

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• On the asymptotic number of tournament score sequences
• Central and local limit theorems for the coefficients of polynomials of binomial type
• A bernoulli excursion and its various applications

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