Titlebook: Combinatorics on Words; 11th International C Sre?ko Brlek,Francesco Dolce,élise Vandomme Conference proceedings 2017 Springer International

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決定性

Minimal Forbidden Factors of Circular Words,is minimal if the input trie recognizes the minimal forbidden factors of a single word. We generalize this result to the case of a circular word. We also discuss combinatorial properties of the minimal forbidden factors of a circular word. Finally, we characterize the minimal forbidden factors of the circular Fibonacci words.

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VEST

On Arithmetic Index in the Generalized Thue-Morse Word,of the arithmetic index of arithmetic factors of a generalization of the Thue-Morse word defined over an alphabet of prime cardinality. More precisely, we obtain upper and lower bounds for the maximum value of the arithmetic index in . among all its arithmetic factors of length ..

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Combinatorics of Cyclic Shifts in Plactic, Hypoplactic, Sylvester, and Related Monoids,l). This paper discusses new results on the diameters of connected components of the cyclic shift graphs of the finite-rank analogues of these monoids, showing that the maximum diameter of a connected component is dependent only on the rank. The proof techniques are explained in the case of the sylvester monoid.

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0302-9743 . It deals with topological and geometrical definitions of digitized objects or digitized images and provides both a theoretical and computational framework for computer imaging..978-3-319-66395-1978-3-319-66396-8Series ISSN 0302-9743 Series E-ISSN 1611-3349

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Colleen Heinemann,Vladimir L. Uskovtail and compare their properties to the Sturmian case. The main results are characterizations of periodic points and the limit set. The results show that while there is some similarity it is possible for the square root map to exhibit quite different behavior compared to the Sturmian case.