Constructing LZ78 tries and position heaps in linear time for large alphabets

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

We present the first worst-case linear-time algorithm to compute the Lempel-Ziv 78 factorization of a given string over an integer alphabet. Our algorithm is based on nearest marked ancestor queries on the suffix tree of the given string. We also show that the same technique can be used to construct the position heap of a set of strings in worst-case linear time, when the set of strings is given as a trie.

Original languageEnglish
Pages (from-to)655-659
Number of pages5
JournalInformation Processing Letters
Volume115
Issue number9
DOIs
Publication statusPublished - Sep 1 2015

Fingerprint

Heap
Linear Time
Strings
Factorization
Suffix Tree
Linear-time Algorithm
Query
Integer

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Signal Processing
  • Information Systems
  • Computer Science Applications

Cite this

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abstract = "We present the first worst-case linear-time algorithm to compute the Lempel-Ziv 78 factorization of a given string over an integer alphabet. Our algorithm is based on nearest marked ancestor queries on the suffix tree of the given string. We also show that the same technique can be used to construct the position heap of a set of strings in worst-case linear time, when the set of strings is given as a trie.",
author = "Yuto Nakashima and Tomohiro I and Shunsuke Inenaga and Hideo Bannai and Masayuki Takeda",
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AU - I, Tomohiro

AU - Inenaga, Shunsuke

AU - Bannai, Hideo

AU - Takeda, Masayuki

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AB - We present the first worst-case linear-time algorithm to compute the Lempel-Ziv 78 factorization of a given string over an integer alphabet. Our algorithm is based on nearest marked ancestor queries on the suffix tree of the given string. We also show that the same technique can be used to construct the position heap of a set of strings in worst-case linear time, when the set of strings is given as a trie.

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