There are 18 maps with domain Parking functions in the database:
(and possibly some waiting for verification)
injective
graded
bijective
surjective
involutive
idempotent
Number of maps: 329
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Alternating sign matricesAlternating sign matricesDyck pathsPerfect matchingsPermutationsSemistandard tableauxBinary treesBinary treesGraphsOrdered treesPosetsBinary wordsBinary wordsInteger compositionsCoresInteger partitionsDecorated permutationsDyck pathsSet partitionsSkew partitionsStandard tableauxFinite Cartan typesGelfand-Tsetlin patternsGelfand-Tsetlin patternsGraphsLatticesInteger compositionsInteger partitionsLatticesOrdered set partitionsOrdered set partitionsOrdered treesParking functionsParking functionsPerfect matchingsPermutationsSigned permutationsPlane partitionsPlane partitionsPosetsSemistandard tableauxSet partitionsSigned permutationsSkew partitionsStandard tableaux
Parking functionsDyck pathsInteger compositionsOrdered set partitionsOrdered treesParking functionsPermutationsSemistandard tableauxto Dyck pathto compositionto inverse des compositionto touch compositionto ordered set partitionordered treerotate front-to-backrepeats to leadingones to leadingleading to onesleading to repeatscomplementrotate back-to-frontreverseto non-decreasing parking functionto car permutationto labelling permutationinsertion tableau