Question: [ 2 0 marks ] ( a ) [ 1 0 marks ] Let G be a connected weighted graph in which each edge has

[20 marks]
(a)[10 marks] Let G be a connected weighted graph in which each edge has a different weight. Prove that there is a unique minimum-weight spanning tree in G.
(b)[10 marks] Give an example of a connected weighted graph G, not a tree, which has a unique minimum-weight spanning tree, but which has two or more edges of the same weight.
[ 2 0 marks ] ( a ) [ 1 0 marks ] Let G be a

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