Title
LPF Computation Revisited
Abstract
We present efficient algorithms for storing past segments of a text. They are computed using two previously computed read-only arrays (SUF and LCP) composing the Suffix Array of the text. They compute the maximal length of the previous factor (subword) occurring at each position of the text in a table called LPF. This notion is central both in many conservative text compression techniques and in the most efficient algorithms for detecting motifs and repetitions occurring in a text.The main results are: a linear-time algorithm that computes explicitly the permutation that transforms the LCP table into the LPF table; a time-space optimal computation of the LPF table; and an O(nlogn) strong in-place computation of the LPF table.
Year
DOI
Venue
2009
10.1007/978-3-642-10217-2_18
IWOCA
Keywords
Field
DocType
maximal length,time-space optimal computation,ziv-lempel factorisa- tion,linear-time algorithm,longest previous factor,lpf table,detection of repetitions.,efficient algorithm,conservative text compression technique,main result,strong in-place computation,lpf computation revisited,suffix array,lcp table,text compression
Text compression,Permutation,Arithmetic,Algorithm,Suffix array,Mathematics,Computation
Conference
Volume
ISSN
Citations 
5874
0302-9743
17
PageRank 
References 
Authors
0.71
19
6
Name
Order
Citations
PageRank
Maxime Crochemore12655281.75
Lucian Ilie284076.50
Costas S. Iliopoulos31534167.43
Marcin Kubica462929.26
Wojciech Rytter52290181.52
Tomasz Waleń670639.62