Title
On the Size of Lempel-Ziv and Lyndon Factorizations.
Abstract
Lyndon factorization and Lempel-Ziv (LZ) factorization are both important tools for analysing the structure and complexity of strings, but their combinatorial structure is very different. In this paper, we establish the first direct connection between the two by showing that while the Lyndon factorization can be bigger than the non-overlapping LZ factorization (which we demonstrate by describing a new, non-trivial family of strings) it is always less than twice the size.
Year
DOI
Venue
2017
10.4230/LIPIcs.STACS.2017.45
Leibniz International Proceedings in Informatics
Keywords
DocType
Volume
Lempel-Ziv factorization,Lempel-Ziv parsing,LZ,Lyndon word,Lyndon factorization,Standard factorization
Conference
66
ISSN
Citations 
PageRank 
1868-8969
0
0.34
References 
Authors
0
5
Name
Order
Citations
PageRank
Juha Kärkkäinen1135495.20
Dominik Kempa214216.37
Yuto Nakashima35719.52
Simon J. Puglisi4113275.14
Arseny M. Shur515226.47