Geodesic
Parking Functions and Labeled Trees
Séminaire lotharingien de combinatoire, Tome 65 (2011-2012) 
António Guedes de Oliveira; Michel Las Vergnas. Parking Functions and Labeled Trees. Séminaire lotharingien de combinatoire, Tome 65 (2011-2012). http://geodesic.mathdoc.fr/item/SLC_2011-2012_65_a4/
@article{SLC_2011-2012_65_a4,
     author = {Ant\'onio Guedes de Oliveira and Michel Las Vergnas},
     title = {Parking {Functions} and {Labeled} {Trees}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {2011-2012},
     volume = {65},
     url = {http://geodesic.mathdoc.fr/item/SLC_2011-2012_65_a4/}
}
TY  - JOUR
AU  - António Guedes de Oliveira
AU  - Michel Las Vergnas
TI  - Parking Functions and Labeled Trees
JO  - Séminaire lotharingien de combinatoire
PY  - 2011-2012
VL  - 65
UR  - http://geodesic.mathdoc.fr/item/SLC_2011-2012_65_a4/
ID  - SLC_2011-2012_65_a4
ER  - 
%0 Journal Article
%A António Guedes de Oliveira
%A Michel Las Vergnas
%T Parking Functions and Labeled Trees
%J Séminaire lotharingien de combinatoire
%D 2011-2012
%V 65
%U http://geodesic.mathdoc.fr/item/SLC_2011-2012_65_a4/
%F SLC_2011-2012_65_a4

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

We define a bijection between the set of parking functions of size n and the set of rooted (labeled) forests with n vertices for which the number of "probes" of the function is the number of inversions of the tree. This definition is not recursive.