Graph Theory and Approximation Algorithms (a) Find the maximum flow possible from vertex s to vertex t in the given graph. Show all your steps Given an example to show why reverse flow edges should be included to get the optimal flow 12 v1 V4 20 16 8. v2 V3 15 (b) Given below are the distances between A, B, C, D, E, F. You have to start from A, visit all the vertices and return back to the A. Find the optimal path using the approximation algorithm discussed in class. Show all your steps. (*) A B C DE F A|0 4 4 3 5 5 4 0 2 4 3 3 C 4 2 0 5 6 4 D3 4 E5 3 6 4 B 5 0 4 5 0 5 F 4 5 5 0

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