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Prim's and Kruskal's algorithms both create MST. It is possible that both algorithms will create dierent...

Prim's and Kruskal's algorithms both create MST. It is possible that both algorithms will create dierent trees. Show using a contradiction why the graphs created by both algorithms MUST have the same total weight.

(Note: speak in general. For example:

Assume that you have a graph G that has two different MST.

Prim(G) = A

Kruskal(G) = B

where weight(A) != weight(B)

Example why this can't be possible.)

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