Using Exercise 21.4-2, give a simple proof that operations on a disjoint-set forest with union by rank

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Using Exercise 21.4-2, give a simple proof that operations on a disjoint-set forest with union by rank but without path compression run in O(m lg n) time.

Exercise 21.4-2

Prove that every node has rank at most ⌊lg n⌋.

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Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

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Question Posted: Dec 29, 2018 11:58 AM

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Using Exercise 21.4-2, give a simple proof that operations on a disjoint-set forest with union by rank

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Clearly each MAKESET and LINK operation takes O1 time Bec...View the full answer

Introduction to Algorithms

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