Scheduled System Maintenance:
On May 6th, single article purchases and IEEE account management will be unavailable from 8:00 AM - 5:00 PM ET (12:00 - 21:00 UTC). We apologize for the inconvenience.
By Topic

Derivation of a parallel algorithm for balancing binary trees

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Moitra, A. ; Dept. of Comput. Sci., Cornell Univ., Ithaca, NY, USA ; Iyengar, S.S.

A recent trend in program methodologies is to derive efficient parallel programs from sequential programs. This study explores the question of transforming a sequential algorithm into an efficient parallel algorithm by considering the problem of balancing binary search trees. The derivation of the parallel algorithm makes use of stepwise refinement. The authors first derive a new iterative balancing algorithm that exploits the similarity of point restructuring required at all the nodes at the same level. From this they derive a parallel algorithm that has time complexity O(1) on an N-processor configuration. This achieves the theoretical limit of speedup possible in a multiprocessor configuration.

Published in:

Software Engineering, IEEE Transactions on  (Volume:SE-12 ,  Issue: 3 )