Question: Let T be a minimum spanning tree of a graph G = (V, E), and let Vbe a subset of V. Let Tbe the subgraph

Let T be a minimum spanning tree of a graph G = (V, E), and let V′be a subset of V. Let T′be the subgraph of T induced by V′, and let G′ be the subgraph of G induced by V′. Show that if T′ is connected, then T′ is a minimum spanning tree of G′.

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