Non-repetitive 3-coloring of subdivided graphs (Q1028809)

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scientific article; zbMATH DE number 5576415
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Non-repetitive 3-coloring of subdivided graphs
scientific article; zbMATH DE number 5576415

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    Non-repetitive 3-coloring of subdivided graphs (English)
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    8 July 2009
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    Summary: We show that every graph can be subdivided in a way that the resulting graph can be colored without repetitions on paths using only 3 colors. This extends the result of Thue asserting the existence of arbitrarily long nonrepetitive strings over a 3-letter alphabet.
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