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Asymptotically efficient in-place merging

  • Jyrki Katajainen
  • Tomi Pasanen
  • George Titan
Contributed Papers Algorithms
  • 925 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 969)

Abstract

Two new linear-time algorithms for in-place merging are presented. Both algorithms perform at most (1 + t)m + n/22 + o(m) element comparisons, where m and n are the sizes of the input sequences, mn, and t = ILlog2(n/m)⌋. The first algorithm is for unstable merging and it carries out no more than 4(m + n) + o(n) element moves. The second algorithm is for stable merging and it accomplishes at most 15m + 13n + o(n) moves.

Keywords

Input Sequence Binary Search Final Location Element Move Output Area 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Jyrki Katajainen
    • 1
  • Tomi Pasanen
    • 2
  • George Titan
    • 1
  1. 1.Department of Computer ScienceUniversity of CopenhagenCopenhagen EastDenmark
  2. 2.Department of Computer ScienceUniversity of TurkuTurkuFinland

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