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- W2963792733 abstract "Set partitions avoiding k-crossing and k-nesting have been extensively studied from the aspects of both combinatorics and mathematical biology. By using the generating tree technique, the obstinate kernel method and Zeilberger’s algorithm, Lin confirmed a conjecture due independently to the author and Martinez–Savage that asserts inversion sequences with no weakly decreasing subsequence of length 3 and enhanced 3-nonnesting partitions have the same cardinality. In this paper, we provide a bijective proof of this conjecture. Our bijection also enables us to provide a new bijective proof of a conjecture posed by Duncan and Steingrímsson, which was proved by the author via an intermediate structure of growth diagrams for 01-fillings of Ferrers shapes." @default.
- W2963792733 created "2019-07-30" @default.
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- W2963792733 date "2018-05-01" @default.
- W2963792733 modified "2023-09-29" @default.
- W2963792733 title "Bijections for inversion sequences, ascent sequences and 3-nonnesting set partitions" @default.
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- W2963792733 doi "https://doi.org/10.1016/j.amc.2017.12.021" @default.
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