COVERING A STRING

Citation
Cs. Iliopoulos et al., COVERING A STRING, Algorithmica, 16(3), 1996, pp. 288-297
Citations number
11
Categorie Soggetti
Computer Sciences",Mathematics,Mathematics,"Computer Science Software Graphycs Programming
Journal title
ISSN journal
01784617
Volume
16
Issue
3
Year of publication
1996
Pages
288 - 297
Database
ISI
SICI code
0178-4617(1996)16:3<288:CAS>2.0.ZU;2-5
Abstract
We consider the problem of finding the repetitive structures of a give n string x. The period u of the string x grasps the repetitiveness of x, since x is a prefix of a string constructed by concatenations of u. We generalize the concept of repetitiveness as follows: A string w co vers a string I if there is a superstring of x which is constructed by concatenations and superpositions of Lu. A substring w of x is called a seed of x if w covers x. we present an O (n log n)-time algorithm f or finding all the seeds of a given string of length n.