Can the two trees be completely disjointed

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Reference no: EM131361705

Answer all of the following:

(a) Give an example of a weighted connected graph G = (V,E) and a vertex v, such that the minimum spanning tree of G is the same as the shortest-path spanning tree rooted at v.

(b) Give an example of a weighted connected directed graph G = (V,E) and a vertex v, such that the minimum-cost spanning tree of G is very different from the shortest-path spanning tree rooted at v.

(c) Can the two trees be completely disjointed?

Reference no: EM131361705

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