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Titlebook: Combinatorics on Words; 10th International C Florin Manea,Dirk Nowotka Conference proceedings 2015 Springer International Publishing Switze

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New Formulas for Dyck Paths in a Rectangle,Dyck words enumerated by the Catalan numbers. By using Ferrers diagrams associated to Dyck paths, we derive formulas for the enumeration of . with . and . non relatively prime, in terms of Catalan numbers.
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Arithmetics on Suffix Arrays of Fibonacci Words,sform based on the respective suffix array. We show that the suffix array is a rotation of its inverse under certain conditions, and that the factors of the LZ77 factorization of any Fibonacci word yield again similar characteristics.
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On the Tree of Ternary Square-Free Words,ucture. First, we show that non-branching paths in this tree are short: such a path from a node of .th level has length .. Second, we prove that any infinite path in the tree has a lot of branching points: the lower density of the set of such points is at least 2/9.
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https://doi.org/10.1007/978-981-16-2109-3ines, sequential finite state transducers and Mealy Machines. For each of these choices, the resulting transducibility relation . is a preorder on the set of infinite sequences. This preorder induces equivalence classes, called ., and a partial order on the degrees..For Turing Machines, this structu
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