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Vincular Pattern Posets and the Mobius ¨ Function the Quasi-Consecutive Pattern Poset
BERNINI, Antonio - Personal Name
FERRARI, Luca - Personal Name
We introduce vincular pattern posets, then we consider in particular the quasiconsecutive pattern poset, which is defined by declaring σ ≤ τ whenever the permutation τ contains an occurrence of the permutation σ in which all the entries are adjacent in τ except at most the first and the second. We investigate the Mobius ¨ function of the quasi-consecutive pattern poset and we completely determine it for those intervals [σ, τ] such that σ occurs precisely once in τ.
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Antonio Bernini, Luca Ferrari
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