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Séries génératrices exponentielles pour les ECO-systèmes signés

In: Formal Power Series and Algebraic Combinatorics

Author

Listed:
  • Sylvie Corteel

    (Université Paris Sud, LRI Bât. 490)

Abstract

An ECO-system consists of an axiom and a set of rewriting rules. A labeled generating tree is then built based on this system. The root is labelled by the axiom. For each node of the tree, the labels of its children are given by the rewriting rule corresponding to the label of the node. Such generating trees lead to the efficient computation of enumeration sequences and random generation algorithms. Following the article [4], we study signed ECO-systems whose ordinary generating functions are transcendental. We present the combinatorial objects associated to these ECO-systems and give the exponential generating function.

Suggested Citation

  • Sylvie Corteel, 2000. "Séries génératrices exponentielles pour les ECO-systèmes signés," Springer Books, in: Daniel Krob & Alexander A. Mikhalev & Alexander V. Mikhalev (ed.), Formal Power Series and Algebraic Combinatorics, pages 655-666, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-04166-6_64
    DOI: 10.1007/978-3-662-04166-6_64
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