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Two-dimensional pattern matching by sampling

  • Maxime Crochemore(corresponding author)
    ,
  • Leszek Ga̧sieniec
    ,
  • Wojciech Rytter
*Corresponding author for this work
  • Paris-Est Sup
    ,
  • University of Warsaw
    ,
  • University of California at Riverside
Scholary Output:
Contribution to journal
Article
Peer-review

Abstract

We extend the concept of deterministic sampling to the two-dimensional pattern matching problem. We show that almost all patterns have a logarithmic deterministic sample. There are 2D-matching algorithms which work efficiently for almost all patterns. They solve the 2D-matching problem in linear sequential time with 0(1) space, or, alternatively in 0(1) parallel time with linear number of processors. This is the first attempt to reduce the space for two-dimensional pattern matching.

Publication Information

Output type

Scholary Output:
Contribution to journal
Article
Peer-review

Original language

English (US)

Pages from-to (Number of pages)

Pages 159-162 (4 pages)

Journal (Volume, Issue Number)

Information Processing Letters (Volume 46, Issue 4)

Publication milestones

  • Published - 06/25/1993

Publication status

Published - 06/25/1993

ISSN

0020-0190

Publication IDs

  • Scopus: 0027606840

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

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Captures
8
Citation count
4

Funding Details

Correspondence to: M. Crochemore. Institute Gaspard Monge, 2 AlICe Jean Renoir, F-93160 Noisy-le-Grand, France. * Work by the first author is partially supported by NATO Grant CRG 900293. Work by the two other authors is supported by grant KBN 2-11-900-01.
FunderFunding numbers
NATO
CRG 900293, KBN 2-11-900-01