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Space efficient search for maximal repetitions

  • Leszek Ga̧sieniec(corresponding author)
    ,
  • Roman Kolpakov
    ,
  • Igor Potapov
*Corresponding author for this work
  • University of Liverpool
Scholary Output:
Contribution to journal
Article
Peer-review

Open access

Abstract

We study here a problem of finding all maximal repetitions in a string of length n. We show that the problem can be solved in time O(nlogn) in the presence of constant extra space and general (unbounded) alphabets. Subsequently we show that in the model with a constant size alphabet the problem can be solved in time O(n) with a help of o(n) extra space. Previously best known algorithms require linear additional space in both models.

Publication Information

Output type

Scholary Output:
Contribution to journal
Article
Peer-review

Original language

English (US)

Pages from-to (Number of pages)

Pages 35-48 (14 pages)

Journal (Volume, Issue Number)

Theoretical Computer Science (Volume 339, Issue 1)

Publication milestones

  • Published - 06/11/2005

Publication status

Published - 06/11/2005

ISSN

0304-3975

Publication IDs

  • Scopus: 18544363750

Publication metrics

Metrics

Scopus
citations
Fractional count
1
Fractional count
0.33
Fractional count
2
Fractional count
0.67
Fractional count
1
Fractional count
1
SciVal
citations
5
SciVal
Author count
3
SciVal
Paper percentile
51

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Citation count
4
Captures
6

Funding Details

This work is supported by the EPSRC Grant GR/R84917/01. ∗Corresponding author. E-mail addresses: [email protected] (L. Ga¸sieniec), [email protected] (R. Kolpakov), [email protected] (I. Potapov).