### Abstract

Given a set of n points on a line and a set of m weighted intervals defined on these points, we consider a particular dynamic programming problem on these intervals. If the weights are all nonnegative or all nonpositive, we solve this dynamic programming problem efficiently by using matrix searching in Monge arrays, together with a new query data structure which we call the consecutive interval query structure. We invoke our algorithm to obtain fast algorithms for the sequential partition of a graph and for the partial clique covering of an interval graph.

Original language | English |
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Title of host publication | Algorithms and Computation - 4th International Symposium, ISAAC 1993, Proceedings |

Editors | Kam Wing Ng, Prabhakar Raghavan, N.V. Balasubramanian, Francis Y.L. Chin |

Publisher | Springer Verlag |

Pages | 466-475 |

Number of pages | 10 |

ISBN (Print) | 9783540575689 |

DOIs | |

Publication status | Published - 1993 |

Event | 4th International Symposium on Algorithms and Computation, ISAAC 1993 - Hong Kong, China Duration: 1993 Dec 15 → 1993 Dec 17 |

### 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 | 762 LNCS |

ISSN (Print) | 0302-9743 |

ISSN (Electronic) | 1611-3349 |

### Other

Other | 4th International Symposium on Algorithms and Computation, ISAAC 1993 |
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Country | China |

City | Hong Kong |

Period | 93/12/15 → 93/12/17 |

### ASJC Scopus subject areas

- Theoretical Computer Science
- Computer Science(all)

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## Cite this

Aggarwal, A., & Tokuyama, T. (1993). Consecutive interval query and dynamic programming on intervals. In K. W. Ng, P. Raghavan, N. V. Balasubramanian, & F. Y. L. Chin (Eds.),

*Algorithms and Computation - 4th International Symposium, ISAAC 1993, Proceedings*(pp. 466-475). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 762 LNCS). Springer Verlag. https://doi.org/10.1007/3-540-57568-5_278