Question: Let G = (V, E) be the undirected graph depicted below: Ug Ug U7 u VA 05 U2 U3 V1 1. Let S = {

Let G = (V, E) be the undirected graph depicted below: Ug Ug U7 u VA 05 U2 U3 V1 1. Let S = { v4, v6) . a. (2 points) Sketch the graph G \\ S. b. (2 points) Compute the value |V) - o(G \\ S) + |S|. Can you conclude from this value that G has no perfect matching? Explain. 2. (6 points) Suppose that Algorithm 10.1 is applied to G with M = { v105, v306, v709) and, in the first iteration, v4 is chosen in step C.I and T in step C.II is ({ v4, v1, v3, v5, v6, 17, vg) , { v475, v105, v407, 1709, Ugv6, V3v6} ). Continue execution of the algorithm until termination to obtain S so that o(G \\ S) > [S|

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