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- Theodore Dokos, Tim Dwyer, Bryan P. Johnson, Bruce E. Sagan, Kimberly Selsor
- Discrete Mathematics
- 2012

Call two sequences of distinct integers a1a2 . . . ak and b1b2 . . . bk order isomorphic if they have the same pairwise comparisons, i.e., ai < aj if and only if bi < bj for all indices i, j. For example 132 and 475 are order isomorphic since both begin with the smallest element, have the largest element second, and end with the middle sized element. Let Sn… (More)

- William Y. C. Chen, Alvin Y. L. Dai, Theodore Dokos, Tim Dwyer, Bruce E. Sagan
- Electr. J. Comb.
- 2013

Ascent sequences were introduced by Bousquet-Mélou, Claesson, Dukes and Kitaev in their study of (2 + 2)-free posets. An ascent sequence of length n is a nonnegative integer sequence x = x1x2 . . . xn such that x1 = 0 and xi ≤ asc(x1x2 . . . xi−1) + 1 for all 1 < i ≤ n, where asc(x1x2 . . . xi−1) is the number of ascents in the sequence x1x2 . . . xi−1. We… (More)

- Theodore Dokos
- 2014

Guibert and Linusson introduced in [GL] the family of doubly alternating Baxter permutations, i.e. Baxter permutations σ ∈ Sn, such that σ and σ−1 are alternating. They proved that the number of such permutations in S2n and S2n+1 is the Catalan number Cn. In this paper we compute the expected limit shape of such permutations, following the approach by Miner… (More)

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