Suffix arrays: a new method for on-line string searches

@article{Manber1990SuffixAA,
  title={Suffix arrays: a new method for on-line string searches},
  author={Udi Manber and Eugene W. Myers},
  journal={SIAM J. Comput.},
  year={1990},
  volume={22},
  pages={935-948}
}
A new and conceptually simple data structure, called a suffixarray, for on-line string searches is introduced in this paper. Constructing and querying suffixarrays is reduced to a sort and search paradigm that employs novel algorithms. The main advantage of suffixarrays over suffixtrees is that, in practice, they use three to five times less space. From a complexity standpoint, suffix arrays permit on-line string searches of the type, ‘‘Is W a substring of A?’’ to be answered in time O(P + log… 
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Suffix Arrays for Multiple Strings: A Method for On-Line Multiple String Searches
TLDR
The generalized suffix array is applied to the problem of finding all occurrences of an m×m matrix as a submatrix in a larger n×n matrix (the text) and is the average-case fastest algorithm in its class.
Suffix Trays and Suffix Trists: Structures for Faster Text Indexing
TLDR
A suffix trist is suggested, a cross between a suffix tree and a suffix list, which supports queries in O(m+log|Σ|) time and the space and text update time of a suffix trists are the same as for the suffix tree or the suffix list.
Computing Longest Common Substrings Via Suffix Arrays
TLDR
This paper presents an alternative, remarkably simple approach to the above problem, which relies on the notion of suffix arrays, and seems to be quite practical.
Simple Linear Work Suffix Array Construction
TLDR
The skew algorithm for suffix array construction over integer alphabets that can be implemented to run in linear time using integer sorting as its only nontrivial subroutine is introduced.
A Fast Algorithm for Constructing Suffix Arrays for Fixed-Size Alphabets
TLDR
This paper presents a fast algorithm for constructing suffix arrays for the fixed-size alphabet that constructs suffix arrays faster than any other algorithms developed for integer or general alphabets when the size of the alphabet is fixed.
Dynamic Suffix Array with Sub-linear update time and Poly-logarithmic Lookup Time
TLDR
A data structure for maintaining a representation of the suffix array of a dynamic string which undergoes symbol substitutions, deletions, and insertions is presented and can be used to obtain sub-linear dynamic algorithms for several classical string problems for which efficient dynamic solutions were not previously known.
Suffix Trays and Suffix Trists: Structures for Faster Text Indexing
TLDR
A cross between a suffix tree and a suffix list (a dynamic variant of suffix array) to be called a suffix trist; it supports queries in O(m+log|Σ|) time and uses linear space.
Compressed suffix arrays and suffix trees with applications to text indexing and string matching (extended abstract)
TLDR
An index structure is constructed that occupies only O(n) bits and compares favorably with inverted lists in space and achieves optimal O(m/log n) search time for sufficiently large m = ~(log a+~ n).
Contracted Suffix Trees: A Simple and Dynamic Text Indexing Data Structure
TLDR
A data structure called a sequence tree is modified, which was proposed by Coffman and Eve for hashing, and adapted to the new problem of finding the locations of all instances of a string P in a text T, and built in O (||P || + k ) time.
Position heaps: A simple and dynamic text indexing data structure
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