On the length of word chains (Q1108812)
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scientific article; zbMATH DE number 4068326
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the length of word chains |
scientific article; zbMATH DE number 4068326 |
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On the length of word chains (English)
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1987
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Word chains are an extension of addition chains to words. We show that over a q-letter alphabet, any long enough word admits a word chain of length at most \((1+\epsilon)n/\log_ q n\), for a fixed arbitrary \(\epsilon >0\); there exist words with no chain shorter than \(n/\log_{q- 1} n\). Several examples are given. Finally, we show that words with few factors have short chains.
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D0L-systems
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addition chains
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word chain
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