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GATE 2007
March 20, 2025
Evaluation-System
March 20, 2025
GATE 2007
March 20, 2025
Evaluation-System
March 20, 2025

GATE 2007

Question 49

Let w be the minimum weight among all edge weights in an undirected connected graph. Let e be a specific edge of weight w. Which of the following is FALSE?

A
There is a minimum spanning tree containing e.
B
If e is not in a minimum spanning tree T, then in the cycle formed by adding e to T, all edges have the same weight.
C
Every minimum spanning tree has an edge of weight w.
D
e is present in every minimum spanning tree.
Question 49 Explanation: 
To find minimum Spanning tree(MST), may not be present ‘e’ in every MST graph.
Correct Answer: D
Question 49 Explanation: 
To find minimum Spanning tree(MST), may not be present ‘e’ in every MST graph.

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