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- Let G be a connected graph with at least one edge and F ⊆ E(G) be an edge cut. Prove that F is a minimal edge cut if and only if G − F contains exactly two connected components.Consider the network below and calculate x, y and zConsider also the induced subgraph H of G, induced by the set of vertices {2,4,6,8,10} List all the edges that belong to H ( for example, list each edge as either {u,v} or u — v )