Faster algorithms for computing maximal multirepeats in multiple sequences

A repeat in a string is a substring that occurs more than once. A repeat is extendible if every occurrence of the repeat has an identical letter either on the left or on the right; otherwise, it is maximal. A multirepeat is a repeat that occurs at least mmin times (mmin greater than/equal to 2) in e...

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Bibliographic Details
Main Authors: Iliopoulos, Costas, Smyth, Bill, Yusufu, M.
Format: Journal Article
Published: IOS Press 2009
Subjects:
Online Access:http://hdl.handle.net/20.500.11937/22370
Description
Summary:A repeat in a string is a substring that occurs more than once. A repeat is extendible if every occurrence of the repeat has an identical letter either on the left or on the right; otherwise, it is maximal. A multirepeat is a repeat that occurs at least mmin times (mmin greater than/equal to 2) in each of at least q greater than/equal to 1 strings in a given set of strings. In this paper, we describe a family of efficient algorithms based on suffix arrays to compute maximal multirepeats under various constraints. Our algorithms are faster, more flexible and much more space-efficient than algorithms recently proposed for this problem. The results extend recent work by two of the authors computing all maximal repeats in a single string.