True or False: If any edge is removed from a tree, then the resulting graph is not connected.
Question
True or False: If any edge is removed from a tree, then the resulting graph is not connected.
Solution
True. A tree is a special type of graph that is minimally connected, which means it is connected and there is no cycle. This also means that there is exactly one unique path between any two vertices in a tree. If you remove any edge from a tree, it will disconnect the graph because there will be two vertices that no longer have a unique path between them. Therefore, the resulting graph is not connected.
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