Give an algorithm to find the minimum spanning forest

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Problem

1. Give another minimum spanning tree for the example graph at the beginning of the chapter.

2. Give an algorithm to find the minimum spanning forest of a connected graph (each vertex must be touched by some edge, but the resulting graph need not be connected).

3. Is there a graph with V vertices and E edges for which the priority-first solution to the minimum-spanning-tree problem could require time proportional to (E + V) log V? Give an example or explain your answer.

Reference no: EM131855469

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