Let F be a subgraph of a connected graph G. Prove that F is a subgraph of some spanning tree of G if and only if F contains no cycles.
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2) If F contains no cycles, then F is a subgraph of some spanning tree of G. Direction 1: If F is a subgraph of some spanning tree of G, then F contains no cycles. Proof: Assume F is a subgraph of some spanning tree T of G. We know that a spanning tree is a Show more…
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