In this paper we give an infinite family of strings for which the length of the Lempel-Ziv’77 parse is a factor Ω(log n/ log log n) smaller than the smallest run-length grammar.
A separation between RLSLPs and LZ77 / Bille, Philip; Gagie, Travis; Gørtz, Inge Li; Prezza, Nicola. - In: JOURNAL OF DISCRETE ALGORITHMS. - ISSN 1570-8667. - 50:(2018), pp. 36-39. [10.1016/j.jda.2018.09.002]
A separation between RLSLPs and LZ77
Prezza, Nicola
2018
Abstract
In this paper we give an infinite family of strings for which the length of the Lempel-Ziv’77 parse is a factor Ω(log n/ log log n) smaller than the smallest run-length grammar.
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