Séminaire Lotharingien de Combinatoire, B20g (1988), 7
[Formerly: Publ. I.R.M.A. Strasbourg, 1988, 372/s-20, p.
A Combinatorial Proof of Louck's Conjecture
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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