Séminaire Lotharingien de Combinatoire, B20g (1988), 7 pp.
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 372/s-20, p. 39-46.]

Volker Strehl

A Combinatorial Proof of Louck's Conjecture

Abstract. The conjecture in question deals with a function of several variables indexed by a sequence of integers that is to be expressed as a sum of convolution products of functions of the same kind. The combinatorial proof given here is based on a careful study of connectedness of finite structures whose generating polynomials are precisely the functions in question.

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