Geodesic
Existence of an infinite word with a~Rauzy graph sequence that contains a~subsequence of homeomorphs of graphs of the given sequence
Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 5, pp. 61-75.

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We investigate infinite words on a finite alphabet and prove that for any sequence of strongly connected directed graphs with maximal in and out vertices degrees that are equal to $s$ there exists a uniformly recurrent infinite word on a $s$-letters alphabet with a Rauzy graph sequence that contains a subsequence of homeomorphs of graphs of the given sequence. Bibl. 5.
Keywords: infinite words, uniform reccurancy, Rauzy graph, de Brain graphs. 
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P. V. Salimov. Existence of an infinite word with a~Rauzy graph sequence that contains a~subsequence of homeomorphs of graphs of the given sequence. Diskretnyj analiz i issledovanie operacij, Tome 15 (2008) no. 5, pp. 61-75. http://geodesic.mathdoc.fr/item/DA_2008_15_5_a5/

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