HOW TO DECOMPOSE A PERMUTATION INTO A PAIR OF LABELED DYCK PATHS BY PLAYING A GAME     PERMUTATION  LABELED DYCK PATHS  PLAYING A GAME       font style='font-size:12px;'> 2015/8/14

We give a bijection between permutations of 1, . . . , 2n and certain pairs of Dyck paths with labels on the down steps. The bijection arises from a game in which two players alternate selecting from ...

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