Imagine that you are trying to construct a minimum spanning tree for a large network, such as

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Imagine that you are trying to construct a minimum spanning tree for a large network, such as is defined by a popular social networking website. Based on using Kruskal’s algorithm, the bottleneck is the maintenance of a union-find data structure. Describe how to use a B-tree to implement a union-find data structure (from Section 7.1) so that union and find operations each use at most O(log n/ log B) disk transfers each.

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Algorithm Design And Applications

ISBN: 9781118335918

1st Edition

Authors: Michael T. Goodrich, Roberto Tamassia

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