2. (a) Perform Kruskal's algorithm to find a spanning tree of minimum weight of the edge weighted graph below (the edges are labelled with the weights). 400 BO NG 200 3000 A 130 15 B 1000 T 100 25 K 70 50 L 60 PO 95 40 IB C 150 75 90 NM M 110 45 P (b) Is the spanning tree of minimum weight you found in (a) unique? (c) Explain how, by adjusting the algorithm or the weight function, we can find a spanning tree of maximum weight instead.

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