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Finite automata, probabilistic method, and occurrence enumeration of a pattern in words and permutations

The main theme of this paper is the enumeration of the order-isomorphic occurrence of a pattern in words and permutations. We mainly focus on asymptotic properties of the sequence [Formula: see text] , the number of n-array k-ary words that contain a given pattern v exactly r times. In addition, we...

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Veröffentlicht in:SIAM J Discret Math
Hauptverfasser: Mansour, Toufik, Rastegar, Reza, Roitershtein, Alexander
Format: Artigo
Sprache:Inglês
Veröffentlicht: 2020
Schlagworte:
Online Zugang:https://ncbi.nlm.nih.gov/pmc/articles/PMC7144682/
https://ncbi.nlm.nih.gov/pubmed/32273646
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1137/19m1262206
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