There are 6 maps with domain Parking functions in the database. There are possibly some more waiting for verification.

Mp00052Parking functions ⟶ Parking functions
to non-decreasing parking function
Mp00053Parking functions ⟶ Permutations
to car permutation
Mp00054Parking functions ⟶ Integer compositions
to inverse des composition
Mp00055Parking functions ⟶ Permutations
to labelling permutation
Mp00056Parking functions ⟶ Dyck paths
to Dyck path
Mp00057Parking functions ⟶ Integer compositions
to touch composition