Title
A Space and Time Efficient Algorithm for Constructing Compressed Suffix Arrays
Abstract
With the first human DNA being decoded into a sequence of about 2.8 billion characters, much biological research has been centered on analyzing this sequence. Theoretically speaking, it is now feasible to accommodate an index for human DNA in the main memory so that any pattern can be located efficiently. This is due to the recent breakthrough on compressed suffix arrays, which reduces the space requirement from O(n log n) bits to O(n) bits. However, constructing compressed suffix arrays is still not an easy task because we still have to compute suffix arrays first and need a working memory of O(n log n) bits (i.e., more than 13 gigabytes for human DNA). This paper initiates the study of constructing compressed suffix arrays directly from the text. The main contribution is a construction algorithm that uses only O(n) bits of working memory, and the time complexity is O(n log n). Our construction algorithm is also time and space efficient for texts with large alphabets such as Chinese or Japanese. Precisely, when the alphabet size is |Σ|, the working space is O(n log |Σ|) bits, and the time complexity remains O(n log n), which is independent of |Σ|.
Year
DOI
Venue
2007
10.1007/s00453-006-1228-8
Algorithmica
Keywords
DocType
Volume
Main Memory,Space Requirement,Burrows,Construction Algorithm,Discrete Algorithm
Journal
48
Issue
ISSN
Citations 
1
0178-4617
30
PageRank 
References 
Authors
7.03
11
5
Name
Order
Citations
PageRank
Wing-Kai Hon185678.67
Tak-Wah Lam21860164.96
Kunihiko Sadakane31776128.47
Wing-Kin Sung41379128.24
Siu-ming Yiu5102692.90