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- W1968512204 abstract "We define a map <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mi>v</mml:mi></mml:mrow></mml:math> between the symmetric group <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mrow><mml:msub><mml:mrow><mml:mi>S</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math> and the set of pairs of Dyck paths of semilength <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:math>. We show that the map <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M4><mml:mrow><mml:mi>v</mml:mi></mml:mrow></mml:math> is injective when restricted to the set of 1234-avoiding permutations and characterize the image of this map." @default.
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- W1968512204 date "2013-01-13" @default.
- W1968512204 modified "2023-09-26" @default.
- W1968512204 title "Permutations and Pairs of Dyck Paths" @default.
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- W1968512204 doi "https://doi.org/10.1155/2013/107454" @default.
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