Consecutive interval query and dynamic programming on intervals

Alok Aggarwal, Takeshi Tokuyama

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

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 languageEnglish
Title of host publicationAlgorithms and Computation - 4th International Symposium, ISAAC 1993, Proceedings
EditorsKam Wing Ng, Prabhakar Raghavan, N.V. Balasubramanian, Francis Y.L. Chin
PublisherSpringer Verlag
Pages466-475
Number of pages10
ISBN (Print)9783540575689
DOIs
Publication statusPublished - 1993
Event4th International Symposium on Algorithms and Computation, ISAAC 1993 - Hong Kong, China
Duration: 1993 Dec 151993 Dec 17

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume762 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Other

Other4th International Symposium on Algorithms and Computation, ISAAC 1993
CountryChina
CityHong Kong
Period93/12/1593/12/17

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