Title :
Asymmetry in Ziv/Lempel ´78 parsing
Author :
Cohn, Martin ; Helfgott, Harald
Author_Institution :
Dept. of Comput. Sci., Brandeis Univ., Waltham, MA, USA
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;
Conference_Titel :
Compression and Complexity of Sequences 1997. Proceedings
Conference_Location :
Salerno
Print_ISBN :
0-8186-8132-2
DOI :
10.1109/SEQUEN.1997.666926
