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2 September, 16:02

The minimum spanning tree of an undirected graph G exists if and only if G is connected. True or False?

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  1. 2 September, 16:24
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    Answer: True

    Explanation:

    The definition of minimum spanning tree (MST) says that the graph must be connected and undirected to be considered for MST. It has (V-1) edges where V is the number of vertices. The minimum spanning tree is implemented using Kruskal's algorithm whereby it starts by considering the minimum weighted edge and covers all the edges upto (V-1) edges. So for MST it has to be connected
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