Faster and Simpler Online/Sliding Rightmost Lempel-Ziv Factorizations

Wataru Sumiyoshi, Takuya Mieno, Shunsuke Inenaga

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We tackle the problems of computing the rightmost variant of the Lempel-Ziv factorizations in the online/sliding model. Previous best bounds for this problem are O(nlogn) time with O(n) space, due to Amir et al. [IPL 2002] for the online model, and due to Larsson [CPM 2014] for the sliding model. In this paper, we present faster O(nlogn/loglogn)-time solutions to both of the online/sliding models. Our algorithms are built on a simple data structure named BP-linked trees, and on a slightly improved version of the range minimum/maximum query (RmQ/RMQ) data structure on a dynamic list of integers. We also present other applications of our algorithms.

Original languageEnglish
Title of host publicationString Processing and Information Retrieval - 31st International Symposium, SPIRE 2024, Proceedings
EditorsZsuzsanna Lipták, Edleno Moura, Karina Figueroa, Ricardo Baeza-Yates
PublisherSpringer Science and Business Media Deutschland GmbH
Pages321-335
Number of pages15
ISBN (Print)9783031721991
DOIs
Publication statusPublished - 2025
Event31st International Symposium on String Processing and Information Retrieval, SPIRE 2024 - Puerto Vallarta, Mexico
Duration: Sept 23 2024Sept 25 2024

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume14899 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference31st International Symposium on String Processing and Information Retrieval, SPIRE 2024
Country/TerritoryMexico
CityPuerto Vallarta
Period9/23/249/25/24

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science

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