Shortest unique palindromic substring queries in optimal time

Yuto Nakashima, Hiroe Inoue, Takuya Mieno, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda

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

Abstract

palindrome is a string that reads the same forward and backward. A palindromic substring P of a string S is called a shortest unique palindromic substring (SUPS) for an interval [s, t] in S, if P occurs exactly once in S, this occurrence of P contains interval [s, t], and every palindromic substring of S which contains interval [s, t] and is shorter than P occurs at least twice in S. The SUPS problem is, given a string S, to preprocess S so that for any subsequent query interval [s, t] all the SUPSs for interval [s, t] can be answered quickly. We present an optimal solution to this problem. Namely, we show how to preprocess a given string S of length n in O(n) time and space so that all SUPSs for any subsequent query interval can be answered in O(α + 1) time, where α is the number of outputs.

Original languageEnglish
Title of host publicationCombinatorial Algorithms - 28th International Workshop, IWOCA 2017, Revised Selected Papers
EditorsWilliam F. Smyth, Ljiljana Brankovic, Joe Ryan
PublisherSpringer Verlag
Pages397-408
Number of pages12
ISBN (Print)9783319788241
DOIs
Publication statusPublished - Jan 1 2018
Event28th International Workshop on Combinational Algorithms, IWOCA 2017 - Newcastle, NSW, Australia
Duration: Jul 17 2017Jul 21 2017

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume10765 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other28th International Workshop on Combinational Algorithms, IWOCA 2017
CountryAustralia
CityNewcastle, NSW
Period7/17/177/21/17

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

Fingerprint Dive into the research topics of 'Shortest unique palindromic substring queries in optimal time'. Together they form a unique fingerprint.

  • Cite this

    Nakashima, Y., Inoue, H., Mieno, T., Inenaga, S., Bannai, H., & Takeda, M. (2018). Shortest unique palindromic substring queries in optimal time. In W. F. Smyth, L. Brankovic, & J. Ryan (Eds.), Combinatorial Algorithms - 28th International Workshop, IWOCA 2017, Revised Selected Papers (pp. 397-408). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 10765 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-319-78825-8_32