A Combinatorial Proof of Louck's Conjecture
Séminaire lotharingien de combinatoire, Tome 20 (1988) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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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.

@article{SLC_1988_20_a6,
     author = {Volker Strehl},
     title = {A {Combinatorial} {Proof} of {Louck's} {Conjecture}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1988},
     volume = {20},
     url = {http://geodesic.mathdoc.fr/item/SLC_1988_20_a6/}
}
TY  - JOUR
AU  - Volker Strehl
TI  - A Combinatorial Proof of Louck's Conjecture
JO  - Séminaire lotharingien de combinatoire
PY  - 1988
VL  - 20
UR  - http://geodesic.mathdoc.fr/item/SLC_1988_20_a6/
ID  - SLC_1988_20_a6
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%0 Journal Article
%A Volker Strehl
%T A Combinatorial Proof of Louck's Conjecture
%J Séminaire lotharingien de combinatoire
%D 1988
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%U http://geodesic.mathdoc.fr/item/SLC_1988_20_a6/
%F SLC_1988_20_a6
Volker Strehl. A Combinatorial Proof of Louck's Conjecture. Séminaire lotharingien de combinatoire, Tome 20 (1988). http://geodesic.mathdoc.fr/item/SLC_1988_20_a6/