Baxter permutations, maj-balances, and positive braids (Q456357)
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scientific article; zbMATH DE number 6098368
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Baxter permutations, maj-balances, and positive braids |
scientific article; zbMATH DE number 6098368 |
Statements
Baxter permutations, maj-balances, and positive braids (English)
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24 October 2012
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Summary: In this paper we present two interesting properties of 321-avoiding Baxter permutations. The first one is a variant of refined major-balance identity for the 321-avoiding Baxter permutations, respecting the number of fixed points and descents. The second one is a bijection between the 321-avoiding Baxter permutations with the entry 1 preceding the entry 2 and the positive braid words on four strands.
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Baxter permutation
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321-avoiding
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123-avoiding
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maj-balance
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positive braid word
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generating tree
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0.9154237
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0.9069894
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0.90390766
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0.8926979
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0.88243437
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0.88146746
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0.88146746
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0.8766685
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