Question: 3. A Unicvcle Problem Prove that a cycle exists in an undirected graph if and only if a BFS of that graph has a cross-edge.

3. A Unicvcle Problem Prove that a cycle exists in an

3. A Unicvcle Problem Prove that a cycle exists in an undirected graph if and only if a BFS of that graph has a cross-edge. (**) Your proof may use the following facts from graph theory . There exists a unique path between any two vertices of a tree. . Adding any edge to a tree creates a unique cycle

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