Quasi-periodicity under mismatch errors

Amihood Amir, Avivit Levy, Ely Porat

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

5 Scopus citations


Tracing regularities plays a key role in data analysis for various areas of science, including coding and automata theory, formal language theory, combinatorics, molecular biology and many others. Part of the scientific process is understanding and explaining these regularities. A common notion to describe regularity in a string T is a cover or quasi-period, which is a string C for which every letter of T lies within some occurrence of C. In many applications finding exact repetitions is not sufficient, due to the presence of errors. In this paper we initiate the study of quasi-periodicity persistence under mismatch errors, and our goal is to characterize situations where a given quasiperiodic string remains quasi-periodic even after substitution errors have been introduced to the string. Our study results in proving necessary conditions as well as a theorem stating sufficient conditions for quasi-periodicity persistence. As an application, we are able to close the gap in understanding the complexity of Approximate Cover Problem (ACP) relaxations studied by [5, 4] and solve an open question.

Original languageEnglish
Title of host publication29th Annual Symposium on Combinatorial Pattern Matching, CPM 2018
EditorsBinhai Zhu, Gonzalo Navarro, David Sankoff
PublisherSchloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
Number of pages375
ISBN (Electronic)9783959770743
StatePublished - 1 May 2018
Event29th Annual Symposium on Combinatorial Pattern Matching, CPM 2018 - Qingdao, China
Duration: 2 Jul 20184 Jul 2018

Publication series

NameLeibniz International Proceedings in Informatics, LIPIcs
ISSN (Print)1868-8969


Conference29th Annual Symposium on Combinatorial Pattern Matching, CPM 2018

Bibliographical note

Publisher Copyright:
© 2018 Yoshifumi Sakai; licensed under Creative Commons License CC-BY.


  • Approximate Cover
  • Cover
  • Periodicity
  • Quasi-Periodicity


Dive into the research topics of 'Quasi-periodicity under mismatch errors'. Together they form a unique fingerprint.

Cite this