TY - GEN

T1 - Closed factorization

AU - Badkobeh, Golnaz

AU - Bannai, Hideo

AU - Goto, Keisuke

AU - I, Tomohiro

AU - Iliopoulos, Costas S.

AU - Inenaga, Shunsuke

AU - Puglisi, Simon J.

AU - Sugimoto, Shiho

N1 - Funding Information:
This research is partially supported by the Academy of Finland through grants 258308 and by the Japan Society for the Promotion of Science .
Publisher Copyright:
© Czech Technical University in Prague, Czech Republic.

PY - 2014

Y1 - 2014

N2 - A closed string is a string with a proper substring that occurs in the string as a prefix and a suffix, but not elsewhere. Closed strings were introduced by Fici (Proc. WORDS, 2011) as objects of combinatorial interest in the study of Trapezoidal and Sturmian words. In this paper we consider algorithms for computing closed factors (substrings) in strings, and in particular for greedily factorizing a string into a sequence of longest closed factors. We describe an algorithm for this problem that uses linear time and space. We then consider the related problem of computing, for every position in the string, the longest closed factor starting at that position. We describe a simple algorithm for the problem that runs in O(n log n/ log log n) time.

AB - A closed string is a string with a proper substring that occurs in the string as a prefix and a suffix, but not elsewhere. Closed strings were introduced by Fici (Proc. WORDS, 2011) as objects of combinatorial interest in the study of Trapezoidal and Sturmian words. In this paper we consider algorithms for computing closed factors (substrings) in strings, and in particular for greedily factorizing a string into a sequence of longest closed factors. We describe an algorithm for this problem that uses linear time and space. We then consider the related problem of computing, for every position in the string, the longest closed factor starting at that position. We describe a simple algorithm for the problem that runs in O(n log n/ log log n) time.

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M3 - Conference contribution

AN - SCOPUS:84928791807

T3 - Proceedings of the Prague Stringology Conference 2014, PSC 2014

SP - 162

EP - 168

BT - Proceedings of the Prague Stringology Conference 2014, PSC 2014

A2 - Holub, Jan

A2 - Zd'arek, Jan

PB - Prague Stringology Club

T2 - 18th Prague Stringology Conference, PSC 2014

Y2 - 1 September 2014 through 3 September 2014

ER -