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- W2743016037 abstract "Abstract We say that a coloring of R 2 is line k-nonrepetitive if we will never encounter the same sequence of colors k times in a row when going along any straight line with steps of length 1 unit. This notion is closely related to square- and cube-free words, introduced by Thue. We show that there exists a line 40-nonrepetitive coloring of the plane with only 2 colors. Moreover, we generalize this result for higher dimensions and more general patterns. It complements recent results concerning line 2-nonrepetitive colorings of the plane." @default.
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- W2743016037 date "2017-08-01" @default.
- W2743016037 modified "2023-10-06" @default.
- W2743016037 title "On avoding r-repetitions inR2" @default.
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- W2743016037 doi "https://doi.org/10.1016/j.endm.2017.06.056" @default.
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