## Abstract

In this paper we define two types of burst edit errors that occur in Text Editing scenarios when the communication speed is unstable within a wireless keyboard usage: (1) A Burst of Errors (BE) involves a sequence of erroneous identical symbols and allows a single edit operation applied to a sequence of identical symbols; (2) A Burst of Operations (BO) involves a sequence of erroneous symbols that are not necessarily identical and allows a single edit operation applied to a sequence of symbols. In both burst types, every burst operation has a penalty, which is a cost function F(k), where k is the burst length. The burst edit distance of two strings S and T is: (1) The minimum cost of a sequence of BE operations that transforms S into T in the bursts of errors variant (EDBE); (2) The minimum cost of a sequence of BO operations that transforms S into T in the bursts of operations variant (EDBO). We describe solutions to both problems for general natural penalty functions families. A conditional lower bound for the EDBE problem is also given. The K-bounded versions of the problems are considered as well.

Original language | English |
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Title of host publication | String Processing and Information Retrieval - 31st International Symposium, SPIRE 2024, Proceedings |

Editors | Zsuzsanna Lipták, Edleno Moura, Karina Figueroa, Ricardo Baeza-Yates |

Publisher | Springer Science and Business Media Deutschland GmbH |

Pages | 41-56 |

Number of pages | 16 |

ISBN (Print) | 9783031721991 |

DOIs | |

State | Published - 2025 |

Event | 31st International Symposium on String Processing and Information Retrieval, SPIRE 2024 - Puerto Vallarta, Mexico Duration: 23 Sep 2024 → 25 Sep 2024 |

### 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 | 14899 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Conference

Conference | 31st International Symposium on String Processing and Information Retrieval, SPIRE 2024 |
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Country/Territory | Mexico |

City | Puerto Vallarta |

Period | 23/09/24 → 25/09/24 |

### Bibliographical note

Publisher Copyright:© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.

## Keywords

- Burst Errors
- Edit Distance
- String Similarity