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• W2112736257 abstract "The study of patterns in permutations is a very active area of current research. Klazar dened and studied an analogous notion of pattern for set partitions. We continue this work, nding exact formulas for the number of set partitions which avoid certain specic patterns. In particular, we enumerate and characterize those partitions avoiding any partition of a 3-element set. This allows us to conclude that the corresponding sequences are P-recursive. Finally, we dene a second notion of pattern in a set partition, based on its restricted growth function. Related results are obtained for this new denition." @default.
• W2112736257 created "2016-06-24" @default.
• W2112736257 creator A5070369805 @default.
• W2112736257 date "2010-01-01" @default.
• W2112736257 modified "2023-09-28" @default.
• W2112736257 title "Pattern avoidance in set partitions" @default.
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