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  • 标题:On Maximal Repeats in Compressed Strings
  • 本地全文:下载
  • 作者:Julian Pape-Lange
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2019
  • 卷号:128
  • 页码:1-13
  • DOI:10.4230/LIPIcs.CPM.2019.18
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:This paper presents and proves a new non-trivial upper bound on the number of maximal repeats of compressed strings. Using Theorem 1 of Raffinot's article "On Maximal Repeats in Strings", this upper bound can be directly translated into an upper bound on the number of nodes in the Compacted Directed Acyclic Word Graphs of compressed strings. More formally, this paper proves that the number of maximal repeats in a string with z (self-referential) LZ77-factors and without q-th powers is at most 3q(z+1)^3-2. Also, this paper proves that for 2000 <= z <= q this upper bound is tight up to a constant factor.
  • 关键词:Maximal repeats; Combinatorics on compressed strings; LZ77; Compact suffix automata; CDAWGs
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