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Generating Functions for Generating Trees (1999)  (Make Corrections)  (23 citations)
Cyril Banderier, Mireille Bousquet-Mélou, Alain Denise, Philippe Flajolet, Danièle Gardy, Dominique Gouyou-Beauchamps
Proceedings of 11th Conference on Formal Power Series and Algebraic Combinatorics (FPSAC'99)



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Abstract: Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the node encodes the choices made in the construction of the object. Generating trees lead to a fast computation of enumeration sequences (sometimes, to explicit formulae as well) and provide efficient random generation algorithms. We investigate the links between the structural properties of the rewriting rules defining... (Update)

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BibTeX entry:   (Update)

Banderier (Cyril), Bousquet-M'elou (Mireille), Denise (Alain), Flajolet (Philippe), Gardy (Dani`ele), and GouyouBeauchamps (Dominique). -- On generating functions of generating trees. In FPSAC'99. -- 1999. http://citeseer.ist.psu.edu/article/banderier99generating.html   More

@inproceedings{ banderier99generating,
    author = "C.~Banderier and M.~Bousquet-M\'elou and A.~Denise and Ph.~Flajolet and D.~Gardy and D.~Gouyou-Beauchamps",
    title = "On generating functions of generating trees",
    booktitle = "Proceedings of 11th Conference on Formal Power Series and Algebraic Combinatorics ({FPSAC}'99)",
    pages = "40--52",
    year = "1999",
    url = "citeseer.ist.psu.edu/article/banderier99generating.html" }
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