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- W2015652129 abstract "A two-dimensional word is a function on Z 2 with finite number of values. The main problem we are interested in is the periodicity of two-dimensional words satisfying some local conditions. In this paper we prove that every bounded centered function on the infinite rectangular grid is periodic. A function is called centered if the sum of its values in every ball is equal to 0. Similar results are obtained for the infinite triangular and hexagonal grids." @default.
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- W2015652129 date "2008-02-01" @default.
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- W2015652129 title "On periodicity of two-dimensional words" @default.
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- W2015652129 doi "https://doi.org/10.1016/j.tcs.2007.10.038" @default.
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