Computing Minimal Unique Substrings for a Sliding Window

Takuya Mieno, Yuta Fujishige, Yuto Nakashima, Shunsuke Inenaga, Hideo Bannai, Masayuki Takeda

Research output: Contribution to journalArticlepeer-review

Abstract

A substring u of a string T is called a minimal unique substring (MUS) of T if u occurs exactly once in T and any proper substring of u occurs at least twice in T. In this paper, we study the problem of computing MUSs for a sliding window over a given string T. We first show how the set of MUSs can change when the window slides over T. We then present an O(nlog σ) -time and O(d)-space algorithm to compute MUSs for a sliding window of size d over the input string T of length n, where σ≤ d is the maximum number of distinct characters in every window.

Original languageEnglish
JournalAlgorithmica
DOIs
Publication statusAccepted/In press - 2021

All Science Journal Classification (ASJC) codes

  • Computer Science(all)
  • Computer Science Applications
  • Applied Mathematics

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