Question: Let n 3. Consider a cycle graph, namely a connected graph with n vertices v1, . . . , vn, connected through n edges so

Let n 3. Consider a cycle graph, namely a connected graph with n vertices v1, . . . , vn, connected through n edges so that they all lie in a cycle. For instance, for n = 5 we would have the following graph:

Explain why if we give such a graph, together with the total order v1 < < vn, as input to the breadth-first-search algorithm and depth-first-search algorithm, then the algorithms will give different spanning trees as output.

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