Séminaire Lotharingien de Combinatoire, B27f (1991), 22 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1992, 473/S-27, p. 25-46.]

Ivan Constantineau

Sur le nombre de graphes connexes fixés par l'action d'une permutation donnée

Abstract. For any integer n ≥ 0, let [n] = {l,2,...,n} if n > 0 and [0] = ∅. Let β be any permutation of [n]. In this paper, we compute explicitely (obtaining a closed formula) the number of connected (simple) graphs on [nj fixed by β.

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