Heap Building Bounds

  • Zhentao Li
  • Bruce A. Reed
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3608)


We consider the lower bound for building a heap in the worst case and the upper bound in the average case. We will prove that the supposedly fastest algorithm in the average case[2] does not attain its claimed bound and indeed is slower than that in [6]. We will then prove that the adversarial argument for the claimed best lower bound in the worst case[1] is also incorrect and the adversarial argument used yields a bound which is worse than that in [5] given by an information theory argument. Finally, we have proven a lower bound of 1.37n + o(n) for building a heap in the worst case.


Fast Algorithm Average Case Left Child Binomial Tree Extra Element 
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 2005

Authors and Affiliations

  • Zhentao Li
    • 1
  • Bruce A. Reed
    • 1
  1. 1.School of Computer ScienceMcGill University 

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