Identifier
There are 5 maps with codomain Set partitions in the database. There are possibly some more waiting for verification.

   Dyck paths (1 maps)
Mp00138Dyck paths ⟶ Set partitions
to noncrossing partition
   Perfect matchings (1 maps)
Mp00092Perfect matchings ⟶ Set partitions
to set partition
   Set partitions (3 maps)
Mp00091Set partitions ⟶ Set partitions
Cyclic rotation
Mp00112Set partitions ⟶ Set partitions
reverse
Mp00115Set partitions ⟶ Set partitions
Kasraoui-Zeng