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- W2182866687 abstract "The definition and study of pattern avoidance for set partitions, which is an analogue of pattern avoidance for permutations, begun with Klazar. Sagan continued his work by considering set partitions which avoid a single partition of three elements, and Goyt generalized these results by considering partitions which avoid any family of partitions of a 3-element set. In this paper we enumerate and describe set partitions, even set partitions and odd set partitions without singletons which avoid any family of partitions of a 3-element set. The characterizations of these families allow us to conclude that the corresponding sequences are P-recursive. We also construct Gray codes for the sets of singletons free partitions that avoid a single partition of three elements." @default.
- W2182866687 created "2016-06-24" @default.
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- W2182866687 date "2015-01-01" @default.
- W2182866687 modified "2023-09-27" @default.
- W2182866687 title "Singleton Free Set Partitions Avoiding a 3-Element Set" @default.
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- W2182866687 doi "https://doi.org/10.1007/978-3-319-16118-1_22" @default.
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