Question: Design an algorithm to solve the following problem. Given an undirected graph G = (V, E) such that each edge e has a non-negative weight

Design an algorithm to solve the following problem. Given an undirected

Design an algorithm to solve the following problem. Given an undirected graph G = (V, E) such that each edge e has a non-negative weight w(e), find a subset H of edges with maximum total weight whose removal does not increase the number of connected components in G. You should describe clearly the data structures used by your algorithm, prove its correctness, and analyze its running time in terms of n = |V| and m = |E|

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