Question: Suppose we are given an undirected graph G = (V, E) with non-negative edge weights : E R. The weight of a cycle is defined

Suppose we are given an undirected graph G = (V, E) with non-negative edge weights : E R. The weight of a cycle is defined as the sum of weights of all edges in this cycle. Given an edge e = (u, v), describe an efficient algorithm to compute a minimum-weight cycle C that containing e; that is, C is a cycle containing e, and among all cycles containing e, C has the smallest weight. Give the time complexity of your algorithm. (Slower algorithm receives fewer points.)

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