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Constant-space string-matching in sublinear average time

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3 Author(s)
Crochemore, M. ; Inst. Gaspard Monge, Univ. de Marne-la-Vallee, France ; Gasieniec, L. ; Rytter, W.

Given two strings: pattern P of length m and text T of length n. The string-matching problem is to find all occurrences of the pattern P in the text T. We present a simple string-matching algorithm which works in average o(n) time with constant additional space for one-dimensional texts and two-dimensional arrays. This is the first attempt to the small-space string-matching problem in which sublinear time algorithms are delivered. More precisely we show that all occurrences of one- or two-dimensional patterns can be found in O(n/r) average time with constant memory, where r is the repetition size (size of the longest repeated subword) of P

Published in:

Compression and Complexity of Sequences 1997. Proceedings

Date of Conference:

11-13 Jun 1997

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