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arxiv: 1504.05821 · v1 · pith:FGL46JYZnew · submitted 2015-04-22 · 🧮 math.CO · cs.DM

Factor Colorings of Linearly Recurrent Words

classification 🧮 math.CO cs.DM
keywords coloringsfactorlinearlyrecurrentwordsadmitalwaysaperiodic
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In this short article, we study factor colorings of aperiodic linearly recurrent infinite words. We show that there always exists a coloring which does not admit a monochromatic factorization of the word into factors of increasing lengths.

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