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The generic \(q\)-enumeration of a species: Existence and computing method (Q1917515)

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scientific article; zbMATH DE number 897596
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English
The generic \(q\)-enumeration of a species: Existence and computing method
scientific article; zbMATH DE number 897596

    Statements

    The generic \(q\)-enumeration of a species: Existence and computing method (English)
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    3 September 1996
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    The authors prove the existence of a generic formal power series for the \(q\)-enumeration of \(F\)-structures \((F\) an arbitrary species) by the number of orbits under the natural action of the Young subgroup of \({\mathfrak S}_n\) corresponding to a partition of an integer \(n\), for sufficiently large \(n\). A table of coefficients of this series is given. The idea of this enumeration was proposed by the first author [Theor. Comput. Sci. 117, No. 1-2, 169-186 (1993; Zbl 0781.05004)].
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    \(q\)-enumeration
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    formal power series
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    species
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