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- W2951566215 abstract "We construct an involution on set partitions which keeps track of the numbers of crossings, nestings and alignments of two edges. We derive then the symmetric distribution of the numbers of crossings and nestings in partitions, which generalizes Klazar's recent result in perfect matchings. By factorizing our involution through bijections between set partitions and some path diagrams we obtain the continued fraction expansions of the corresponding ordinary generating functions." @default.
- W2951566215 created "2019-06-27" @default.
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- W2951566215 date "2006-01-04" @default.
- W2951566215 modified "2023-10-16" @default.
- W2951566215 title "Distribution of crossings, nestings and alignments of two edges in matchings and partitions" @default.
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- W2951566215 doi "https://doi.org/10.48550/arxiv.math/0601081" @default.
- W2951566215 hasPublicationYear "2006" @default.
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