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Computer-Networks
October 19, 2023
UGC NET CS 2016 Aug- paper-3
October 19, 2023
Computer-Networks
October 19, 2023
UGC NET CS 2016 Aug- paper-3
October 19, 2023

GATE 1989

Question 4

The transitive closure of the relation {(1, 2), (2, 3), (3, 4), (5, 4)} on the set {1, 2, 3, 4, 5} is ___________.

A
{(1,2), (2,3), (1,3), (3,4), (2,4), (1,4), (5,4)}
Question 4 Explanation: 
Transitive closure of the relation {(1,2), (2,3), (3,4), (5,4)} = {(1,2), (2,3), (1,3), (3,4), (2,4), (1,4), (5,4)}
Transitive closure of R:
(a) It is transitive.
(b) It contains R.
(c) It is minimal, satisfies a & b.
Correct Answer: A
Question 4 Explanation: 
Transitive closure of the relation {(1,2), (2,3), (3,4), (5,4)} = {(1,2), (2,3), (1,3), (3,4), (2,4), (1,4), (5,4)}
Transitive closure of R:
(a) It is transitive.
(b) It contains R.
(c) It is minimal, satisfies a & b.
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