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

Suppose we are given an undirected graph G = (V;E) with non-negative edge weights w: E -> R. The weight of a cycle is dened as the sum of weights of all edges in this cycle. Given an edge e = (u; v), describe an ecient 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.

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