### Abstract

Parallel pattern matching on a mesh-connected array of processors is considered. The problem is to find all occurrences of a pattern in a text. The input text is a string of n symbols placed in a √n×√n mesh, each processor storing one symbol. The pattern is stored similarly in a contiguous portion of the mesh. An algorithm solving the problem in time O(√n) is presented. It applies a novel technique to design parallel pattern-matching algorithms based on the notion of a pseudo-period.

Original language | English (US) |
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Title of host publication | STACS 1994 - 11th Annual Symposium on Theoretical Aspects of Computer Science, Proceedings |

Editors | Ernst W. Mayr, Klaus W. Wagner, Patrice Enjalbert |

Publisher | Springer Verlag |

Pages | 213-224 |

Number of pages | 12 |

ISBN (Print) | 9783540577850 |

State | Published - Jan 1 1994 |

Externally published | Yes |

Event | Proceedings of the 11th Symposium on Theoretical Aspects of Computer Science (STACS'94) - Caen, Fr Duration: Feb 24 1994 → Feb 26 1994 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Volume | 775 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | Proceedings of the 11th Symposium on Theoretical Aspects of Computer Science (STACS'94) |
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City | Caen, Fr |

Period | 2/24/94 → 2/26/94 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

Chlebus, B. S., & Gąsieniec, L. (1994). Optimal pattern matching on meshes. In E. W. Mayr, K. W. Wagner, & P. Enjalbert (Eds.),

*STACS 1994 - 11th Annual Symposium on Theoretical Aspects of Computer Science, Proceedings*(pp. 213-224). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 775 LNCS). Springer Verlag.