Enumeration of Rota-Baxter words

DOI10.1145/1145768.1145793zbMath1356.16028OpenAlexW2168312927MaRDI QIDQ2958978

William Y. Sit, Li Guo

Publication date: 3 February 2017

Published in: Proceedings of the 2006 international symposium on Symbolic and algebraic computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1145768.1145793

zbMATH Keywords

compositionsgenerating functionsCatalan numbersRota-Baxter algebrasRota-Baxter words

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Exact enumeration problems, generating functions (05A15) Combinatorics on words (68R15) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Other combinatorial number theory (11B75) Connections of Hopf algebras with combinatorics (16T30)

Related Items (4)

Rota-Baxter algebras and dendriform algebras. ⋮ Enumeration and generating functions of Rota-Baxter words. ⋮ Free objects and Gröbner-Shirshov bases in operated contexts ⋮ Operated semigroups, Motzkin paths and rooted trees

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