• DocumentCode
    1566456
  • Title

    Enumerating the k closest pairs optimally

  • Author

    Lenhof, Hans-Peter ; Smid, Michiel

  • Author_Institution
    Max-Planck-Inst. fur Informatik, Saarbrucken, Germany
  • fYear
    1992
  • Firstpage
    380
  • Lastpage
    386
  • Abstract
    Let S be a set of n points in D-dimensional space, where D is a constant, and let k be an integer between 1 and (2n) An algorithm is given that computes the k closest pairs in the set S in O(nlogn+k) time, using O(n+k) space. The algorithm fits in the algebraic decision tree model and is, therefore, optimal
  • Keywords
    computational complexity; computational geometry; D-dimensional space; algebraic decision tree model; k closest pairs; time complexity; Algorithm design and analysis; Contracts; Testing;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Foundations of Computer Science, 1992. Proceedings., 33rd Annual Symposium on
  • Conference_Location
    Pittsburgh, PA
  • Print_ISBN
    0-8186-2900-2
  • Type

    conf

  • DOI
    10.1109/SFCS.1992.267752
  • Filename
    267752