Question 7811 – Computer-Networks
November 19, 2023Question 10311 – Algorithms
November 19, 2023Question 11088 – Algorithms
Let G be a weighted undirected graph and e be an edge with maximum weight in G. Suppose there is a minimum weight spanning tree in G containing the edge e. Which of the following statements is always TRUE?
Correct Answer: A
Question 50 Explanation:
(A) True, because if there is heaviest edge in MST, then there exist a cut with all edges with weight equal to heaviest edge.
![](https://solutionsadda.in/wp-content/uploads/2020/03/52.jpg)
(B) False, because the cutset of heaviest edge may contain only one edge.
(C) False. The cutset may form cycle with other edge.
(D) False. Not always true.
![](https://solutionsadda.in/wp-content/uploads/2020/03/52.jpg)
(B) False, because the cutset of heaviest edge may contain only one edge.
(C) False. The cutset may form cycle with other edge.
(D) False. Not always true.
There exists a cutset in G having all edges of maximum weight
There exists a cycle in G having all edges of maximum weight
Edge e cannot be contained in a cycle
All edges in G have the same weight
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