Title
Faster Lyndon Factorization Algorithms for SLP and LZ78 Compressed Text.
Abstract
We present two efficient algorithms which, given a compressed representation of a string <em>w</em> of length <em>N</em>, compute the Lyndon factorization of <em>w</em>. Given a straight line program (SLP) <InlineEquation ID=\"IEq1\" <EquationSource Format=\"TEX\"$\\mathcal{S}$</EquationSource> </InlineEquation> of size <em>n</em> and height <em>h</em> that describes <em>w</em>, the first algorithm runs in <em>O</em>(<em>nh</em>(<em>n</em> + log<em>N</em> log<em>n</em>)) time and <em>O</em>(<em>n</em> 2) space. Given the Lempel-Ziv 78 encoding of size <em>s</em> for <em>w</em>, the second algorithm runs in <em>O</em>(<em>s</em> log<em>s</em>) time and space.
Year
DOI
Venue
2013
10.1016/j.tcs.2016.03.005
Theor. Comput. Sci.
Keywords
Field
DocType
Lyndon factorization,Straight line program,Lempel-Ziv 78 factorization
Combinatorics,Spacetime,Algorithm,Factorization,Straight-line program,Mathematics,Encoding (memory)
Conference
Volume
Issue
ISSN
656
PB
0304-3975
Citations 
PageRank 
References 
2
0.37
13
Authors
5
Name
Order
Citations
PageRank
Tomohiro I114822.06
Yuto Nakashima25719.52
Shunsuke Inenaga359579.02
Hideo Bannai462079.87
Masayuki Takeda5913.78