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- W1539140237 abstract "In this paper, we show that both 12312-avoiding partitions and 12321-avoiding partitions of the set (n + 1) are in one-to-one corre- spondence with Schroder paths of semilength n without peaks at even level. As a consequence, the refined enumeration of 12312-avoiding (resp. 12321-avoiding) partitions according to the number of blocks can be reduced to the enumeration of certain Schroder paths accord- ing to the number of peaks. Furthermore, we get the enumeration of irreducible 12312-avoiding (resp. 12321-avoiding) partitions, which are closely related to skew Dyck paths." @default.
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- W1539140237 date "2009-01-01" @default.
- W1539140237 modified "2023-09-27" @default.
- W1539140237 title "Schroder Paths and Pattern Avoiding Partitions" @default.
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