Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
Perform the following operations for a Union-Find data structure:
(When there's a tie for a union operation use alphabetical order on the roots so A→B.)
MakeSet(A), MakeSet(B), MakeSet(C), MakeSet(D), MakeSet(E), MakeSet(F), MakeSet(G), MakeSet(H), MakeSet(I)
Union(B,I)
Union(D,G)
Union(A,F)
Union(C,H)
Union(C,A)
Union(A,G)
Union(B,D)
a ) What is the rank(I) at the conclusion of these operations?
b ) What is π(H) at the conclusion of these operations?
c) What does a Find(B) return at the conclusion of these operations?
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