Multidimensional unrepetitive configurations (Q1106022)
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scientific article; zbMATH DE number 4060746
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multidimensional unrepetitive configurations |
scientific article; zbMATH DE number 4060746 |
Statements
Multidimensional unrepetitive configurations (English)
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1988
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An existence of bi-finite words on finite alphabets which are r-th power- free together with a certain class of their subwords is used for an effective construction of the following n-dimensional configuration: It is possible to associate with each lattice-point of the n-dimensional space a letter of a finite alphabet so that the sequences of the letters corresponding to the points lying on a same straight line are r-th power- free words \((r>1)\). An analogous result is obtained also for some avoidable sets of patterns.
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avoidable patterns
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combinatorics on words
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r-th power-free words
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