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On Minimal and Maximal Suffixes of a Substring

P. 28–37.
Babenko M., Kolesnichenko I., Starikovskaya T.

Lexicographically minimal and lexicographically maximal suffixes of a string are fundamental notions of stringology. It is well known that the lexicographically minimal and maximal suffixes of a given string S can be computed in linear time and space by constructing a suffix tree or a suffix array of S. Here we consider the case when S is a substring of another string T of length n.We propose two linear-space data structures for T which allow to compute the minimal suffix of S in $O(log^{1+\epsilon} n)$ time (for any $\epsilon > 0$) and the maximal suffix of S in $O(log n)$ time.

Language: English
Full text
Keywords: algorithmsалгоритмы обработки словdata structureslexicographic orderструктуры данныхлексикографический порядок

In book

Lecture Notes in Computer Science
Vol. 7922: Proceedings of the 24th Symposium on Combinatorial Pattern Matching. , Berlin: Springer, 2013.
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