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Séminaire Lotharingien de Combinatoire, B65e (2011), 10 pp.

# António Guedes de Oliveira and Michel Las Vergnas

# Parking Functions and Labeled Trees

**Abstract.**
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.

Received: September 30, 2010.
Revised: July 7, 2011; September 27, 2011, October 27, 2011.
Accepted: November 10, 2011.
Final Version: November 30, 2011.

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