Question: Show how to efficiently solve the vertex cover problem for the special case where the network is a tree, and all vertices have weight 1

Show how to efficiently solve the vertex cover problem for the special case where the network is a tree, and all vertices have weight 1(so you want to select the smallest set of vertices that touches each edge).
Figure 1: The network at left has 7 edges, and we can decompose this edge set into the 4 colored pairs shown at right.
Show how to efficiently solve the vertex cover

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