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- W4289743048 abstract "The combined work of Bousquet-M'elou, Claesson, Dukes, Jel'inek, Kitaev, Kubitzke and Parviainen has resulted in non-trivial bijections among ascent sequences, (2+2)-free posets, upper-triangular integer matrices, and pattern-avoiding permutations. To probe the finer behavior of these bijections, we study two types of restrictions on ascent sequences. These restrictions are motivated by our results that their images under the bijections are natural and combinatorially significant. In addition, for one restriction, we are able to determine the effect of poset duality on the corresponding ascent sequences, matrices and permutations, thereby answering a question of the first author and Parviainen in this case. The second restriction should appeal to Catalaniacs." @default.
- W4289743048 created "2022-08-04" @default.
- W4289743048 creator A5007588439 @default.
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- W4289743048 date "2018-07-30" @default.
- W4289743048 modified "2023-09-23" @default.
- W4289743048 title "Refining the bijections among ascent sequences, (2+2)-free posets, integer matrices and pattern-avoiding permutations" @default.
- W4289743048 doi "https://doi.org/10.48550/arxiv.1807.11505" @default.
- W4289743048 hasPublicationYear "2018" @default.
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