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Subject - Group theory (a) Let G be a weighted graph and e be an edge of G such that its weight is smaller than

Subject - Group theory

(a) Let G be a weighted graph and e be an edge of G such that its weight is smaller than that of any other edge. Prove that e must belong to every minimum (weight) spanning tree for G.

(b) Apply Kruskal's algorithm for the following network. Show all your work.

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