### Abstract

We present a compact semi-dynamic text index which allows us to find short patterns efficiently. For parameters k ≤ q ≤ log_{σ} n − log_{σ} log_{σ} n and alphabet size σ = O(polylog(n)), all occ occurrences of a pattern of length at most q−k+1 can be obtained in O(k×occ +log_{σ} n) time, where n is the length of the text. Adding characters to the end of the text is supported in amortized constant time. Our index requires (n/k) log(n/k) + n log σ + o(n) bits of space, which is compact (i.e., O(n log σ)) when k = Θ(log_{σ} n). As a byproduct, we present a succinct van Emde Boas tree which supports insertion, deletion, predecessor, and successor on a dynamic set of integers over the universe [0,m − 1] in O(log logm) time and requires only m + o(m) bits of space.

Original language | English |
---|---|

Title of host publication | Combinatorial Pattern Matching - 26th Annual Symposium, CPM 2015, Proceedings |

Editors | Ugo Vaccaro, Ely Porat, Ferdinando Cicalese |

Publisher | Springer Verlag |

Pages | 355-366 |

Number of pages | 12 |

ISBN (Print) | 9783319199283 |

DOIs | |

Publication status | Published - Jan 1 2015 |

Event | 26th Annual Symposium on Combinatorial Pattern Matching, CPM 2015 - Ischia Island, Italy Duration: Jun 29 2015 → Jul 1 2015 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
---|---|

Volume | 9133 |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 26th Annual Symposium on Combinatorial Pattern Matching, CPM 2015 |
---|---|

Country | Italy |

City | Ischia Island |

Period | 6/29/15 → 7/1/15 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Combinatorial Pattern Matching - 26th Annual Symposium, CPM 2015, Proceedings*(pp. 355-366). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 9133). Springer Verlag. https://doi.org/10.1007/978-3-319-19929-0_30