Every tree is bipartite. [1] Every graph contains a spann…
Every tree is bipartite. [1] Every graph contains a spanning tree as a subgraph. [2] If a graph has exactly one more vertex than it has edges, then the graph is a tree. [3] Every forest is a tree. [4] Every connected graph contains a spanning tree as a subgraph. [5] If a graph has two more vertices than edges, then it is not connected. [6]
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