Approximating the Anticover of a String

Amihood Amir, Itai Boneh, Eitan Kondratovsky

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

1 Scopus citations

Abstract

The k-anticover of a string S is a set of distinct k-length substrings such that every index in S is contained in one of these substrings. The existence of an anticover indicates a lack of structure in S. It was recently proven by Alzamel et al. [2] that finding whether or not a k-anticover exists is-Hard for. In this paper, we extend the definition to provide three optimization versions for the k-anticover problem. We provide efficient approximation algorithms for these problems.

Original languageEnglish
Title of host publicationString Processing and Information Retrieval - 27th International Symposium, SPIRE 2020, Proceedings
EditorsChristina Boucher, Sharma V. Thankachan
PublisherSpringer Science and Business Media Deutschland GmbH
Pages99-114
Number of pages16
ISBN (Print)9783030592110
DOIs
StatePublished - 2020
Event27th International Symposium on String Processing and Information Retrieval, SPIRE 2020 - Orlando, United States
Duration: 13 Oct 202015 Oct 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12303 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference27th International Symposium on String Processing and Information Retrieval, SPIRE 2020
Country/TerritoryUnited States
CityOrlando
Period13/10/2015/10/20

Bibliographical note

Publisher Copyright:
© 2020, Springer Nature Switzerland AG.

Funding

This work was partially supported by ISF grant 1475/18 and BSF grant 2018141. This work is part of the second author’s Ph.D. dissertation.

FundersFunder number
United States-Israel Binational Science Foundation2018141
Israel Science Foundation1475/18

    Keywords

    • Anticover
    • Approximation algorithms
    • NP-hardness

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