DocumentCode
322420
Title
Asymmetry in Ziv/Lempel ´78 parsing
Author
Cohn, Martin ; Helfgott, Harald
Author_Institution
Dept. of Comput. Sci., Brandeis Univ., Waltham, MA, USA
fYear
1997
fDate
11-13 Jun 1997
Firstpage
320
Lastpage
328
Abstract
We the compare the number of phrases created by Ziv/Lempel ´78 parsing of a binary sequence and of its reversal. We show that the two parsings can vary by a factor that grows at least as fast as the logarithm of the sequence length. We then show that under a suitable condition, the factor can even become polynomial, and argue that the condition may not be necessary
Keywords
binary sequences; grammars; probability; Ziv/Lempel ´78 parsing; asymmetry; asymptotic ratio; binary sequence; deterministic analysis; forward-to-reverse parsing; logarithm; polynomial; probability; reverse parsing; sequence length; Binary sequences; Computer science; Data compression; Data structures; Encoding; Polynomials;
fLanguage
English
Publisher
ieee
Conference_Titel
Compression and Complexity of Sequences 1997. Proceedings
Conference_Location
Salerno
Print_ISBN
0-8186-8132-2
Type
conf
DOI
10.1109/SEQUEN.1997.666926
Filename
666926
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