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- W1540289938 abstract "In this paper, we establish bijections between the set of 4123-avoiding down-up alternating permutations of length $2n$ and the set of standard Young tableaux of shape $(n,n,n)$, and between the set of 4123-avoiding down-up alternating permutations of length $2n-1$ and the set of shifted standard Young tableaux of shape $(n+1, n, n-1)$ via an intermediate structure of Yamanouchi words. Moreover, we show that 4123-avoiding up-down alternating permutations of length $2n+1$ are in one-to-one correspondence with standard Young tableaux of shape $(n+1,n,n-1)$, and 4123-avoiding up-down alternating permutations of length $2n$ are in bijection with shifted standard Young tableaux of shape $(n+2,n,n-2)$." @default.
- W1540289938 created "2016-06-24" @default.
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- W1540289938 date "2012-06-28" @default.
- W1540289938 modified "2023-09-30" @default.
- W1540289938 title "Alternating Permutations with Restrictions and Standard Young Tableaux" @default.
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- W1540289938 doi "https://doi.org/10.37236/2306" @default.
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