Séminaire Lotharingien de Combinatoire, B21j (1989).
[Formerly: Publ. I.R.M.A. Strasbourg, 1990, 413/S-21, p. 60-66.]

Gilbert Labelle

Le dénombrement de structures asymétriques

Abstract. We introduce an asymmetry indicatrix series enabling one to enumerate the asymmetric structures belonging to an arbitrary species. As for the cycle indicatrix series, the asymmetry indicatrix series commutes wit the operations of sum, product, substitution, and derivation. However, it is independent of the cycle indicatrix series.


The paper has been finally published under the title "On asymmetric structures" in Discrete Math. 99 (1992), 141-164.