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Fast circular dictionary-matching algorithm

Research output: Contribution to journalArticle

Original languageEnglish
Pages (from-to)143-156
Number of pages14
JournalMATHEMATICAL STRUCTURES IN COMPUTER SCIENCE
Volume27
Issue number2
Early online date11 May 2015
DOIs
E-pub ahead of print11 May 2015
Published2017

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Abstract

Circular string matching is a problem which naturally arises in many contexts. It consists in finding all occurrences of the rotations of a pattern of length m in a text of length n. There exist optimal worst- and average-case algorithms for circular string matching. Here, we present a suboptimal average-case algorithm for circular string matching requiring time O(n) and space O(m). The importance of our contribution is underlined by the fact that the proposed algorithm can be easily adapted to deal with circular dictionary matching. In particular, we show how the circular dictionary-matching problem can be solved in average-case time O(n + M) and space O(M), where M is the total length of the dictionary patterns, assuming that the shortest pattern is sufficiently long. Moreover, the presented average-case algorithms and other worst-case approaches were also implemented. Experimental results, using real and synthetic data, demonstrate that the implementation of the presented algorithms can accelerate the computations by more than a factor of two compared to the corresponding implementation of other approaches.

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