Geodesic
A Combinatorial Proof of Louck's Conjecture
Séminaire lotharingien de combinatoire, Tome 20 (1988)

Voir la notice de l'acte provenant de la source Séminaire Lotharingien de Combinatoire website

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},
     publisher = {mathdoc},
     volume = {20},
     year = {1988},
     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
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SLC_1988_20_a6/
ID  - SLC_1988_20_a6
ER  - 
%0 Journal Article
%A Volker Strehl
%T A Combinatorial Proof of Louck's Conjecture
%J Séminaire lotharingien de combinatoire
%D 1988
%V 20
%I mathdoc
%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/