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Consider you get as input a very sparse undirected weighted graph G = (V, E), in particular for which |E||V| = 20. Give an O(|V|)

Consider you get as input a very sparse undirected weighted graph G = (V, E), in particular for which |E||V| = 20. Give an O(|V|) time algorithm for finding a minimum spanning tree on G and prove your algorithm correct.

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