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arXiv · 1504.06242

Dictionary matching in a stream

Raphael Clifford·Allyx Fontaine·Ely Porat·Benjamin Sach·Tatiana Starikovskaya
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Abstract

We consider the problem of dictionary matching in a stream. Given a set of strings, known as a dictionary, and a stream of characters arriving one at a time, the task is to report each time some string in our dictionary occurs in the stream. We present a randomised algorithm which takes O(log log(k + m)) time per arriving character and uses O(k log m) words of space, where k is the number of strings in the dictionary and m is the length of the longest string in the dictionary.

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Raphael Clifford, Allyx Fontaine, Ely Porat, Benjamin Sach, Tatiana Starikovskaya. 2015-04-23. Dictionary matching in a stream. https://arxiv.org/abs/1504.06242

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