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A spanning tree of connected graph G = (V, E) is an acyclic connected subgraph (V,...

A spanning tree of connected graph G = (V, E) is an acyclic connected subgraph (V, E0 ) with the same vertices as G. Show that every connected graph G = (V, E) contains a spanning tree. (It is the connected subgraph (V, E0 ) with the smallest number of edges.)

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