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- W4302822376 abstract "In this note, by counting some colored plane trees we obtain several binomial identities. These identities can be viewed as specific evaluations of certain generalizations of the Narayana polynomials. As consequences, it provides combinatorial proofs for a bijective problem in Stanley's collection Bijective Proof Problems, a new formula for the Narayana polynomials as well as a new expression for the Harer-Zagier formula enumerating unicellular maps, in a unified way. Furthermore, we identify a class of plane trees, whose enumeration is closely connected to the Schroder numbers. Many other binomial identities are presented as well." @default.
- W4302822376 created "2022-10-07" @default.
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- W4302822376 date "2014-11-10" @default.
- W4302822376 modified "2023-09-23" @default.
- W4302822376 title "Narayana polynomials and some generalizations" @default.
- W4302822376 doi "https://doi.org/10.48550/arxiv.1411.2530" @default.
- W4302822376 hasPublicationYear "2014" @default.
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