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• W2050396985 abstract "This paper presents a combinatorial theory of formal power series. The combinatorial interpretation of formal power series is based on the concept of species of structures. A categorical approach is used to formulate it. A new proof of Cayley's formula for the number of labelled trees is given as well as a new combinatorial proof (due to G. Labelle) of Lagrange's inversion formula. Polya's enumeration theory of isomorphism classes of structures is entirely renewed. Recursive methods for computing cycle index polynomials are described. A combinatorial version of the implicit function theorem is stated and proved. The paper ends with general considerations on the use of coalgebras in combinatorics." @default.
• W2050396985 created "2016-06-24" @default.
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• W2050396985 date "1981-10-01" @default.
• W2050396985 modified "2023-09-30" @default.
• W2050396985 title "Une théorie combinatoire des séries formelles" @default.
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• W2050396985 doi "https://doi.org/10.1016/0001-8708(81)90052-9" @default.
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