Title
On the Approximation Ratio of LZ-End to LZ77.
Abstract
A family of Lempel-Ziv factorizations is a well-studied string structure. The LZ-End factorization is a member of the family that achieved faster extraction of any substrings (Kreft & Navarro, TCS 2013). One of the interests for LZ-End factorizations is the possible difference between the size of LZ-End and LZ77 factorizations. They also showed families of strings where the approximation ratio of the number of LZ-End phrases to the number of LZ77 phrases asymptotically approaches 2. However, the alphabet size of these strings is unbounded. In this paper, we analyze the LZ-End factorization of the period-doubling sequence. We also show that the approximation ratio for the period-doubling sequence asymptotically approaches 2 for the binary alphabet.
Year
DOI
Venue
2021
10.1007/978-3-030-86692-1_10
SPIRE
DocType
Citations 
PageRank 
Conference
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
Takumi Ideue100.34
Takuya Mieno243.48
Mitsuru Funakoshi312.06
Yuto Nakashima45719.52
Shunsuke Inenaga559579.02
Masayuki Takeda690279.24