Question: 3. Let G (V, E) be a connected, undirected graph with positive edge weights d(u, v), and suppose |E 12(V|). That is, |E| is perhaps

3. Let G (V, E) be a connected, undirected graph with

3. Let G (V, E) be a connected, undirected graph with positive edge weights d(u, v), and suppose |E 12(V|). That is, |E| is perhaps |V12/100. Give an implementation of Prims algorithm that is asymptotically faster on such dense graphs than the heap-based version we saw in class. (You are not allowed to use the Fibonacci heap or anything equivalent)

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