Counting consecutive pattern matches in Sn(132) and Sn(123)

    Ran Pan
    Ran Pan
    Dun Qiu
    Dun Qiu

    Advances in Applied Mathematics, pp. 130-167, 2019.

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    Abstract:

    Abstract In this paper, we study the distribution of consecutive patterns in the set of 123-avoiding permutations and the set of 132-avoiding permutations, that is, in S n ( 123 ) and S n ( 132 ) . We first study the distribution of consecutive pattern γ -matches in S n ( 123 ) and S ...More

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