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- W2127184583 abstract "Consider a finite alphabet Ω and strings consisting of elements from Ω. For a given string w , let cor( w ) denote the autocorrelation, which can be seen as a measure of the amount of overlap in w . Furthermore, let a w ( n ) be the number of strings of length n that do not contain w as a substring. Eriksson [4] stated the following conjecture: if cor( w )>cor( w ′), then a w ( n )> a w ′ ( n ) from the first n where equality no longer holds . We prove that this is true if [mid ]Ω[mid ][ges ]3, by giving a lower bound for a w ( n )− a w ′ ( n )." @default.
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- W2127184583 date "1999-09-01" @default.
- W2127184583 modified "2023-10-14" @default.
- W2127184583 title "On a Conjecture by Eriksson Concerning Overlap in Strings" @default.
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- W2127184583 doi "https://doi.org/10.1017/s0963548399003806" @default.
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