# Covering a Circular String with Substrings of Fixed Length

@article{Duval1996CoveringAC, title={Covering a Circular String with Substrings of Fixed Length}, author={Art M. Duval and William F. Smyth}, journal={Int. J. Found. Comput. Sci.}, year={1996}, volume={7}, pages={87-93} }

A nonempty circular string C(x) of length n is said to be covered by a set Uk of strings each of fixed length k≤n iff every position in C(x) lies within an occurrence of some string u∈Uk. In this paper we consider the problem of determining the minimum cardinality of a set Uk which guarantees that every circular string C(x) of length n≥k can be covered. In particular, we show how, for any positive integer m, to choose the elements of Uk so that, for sufficiently large k, uk≈σk–m, where uk=|Uk…

## 7 Citations

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