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Answers for “无向连通图的最大边数是多少?”

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An undirected connected graph with n vertices has at least n-1 edges. This minimum is achieved when the graph forms a tree structure.

Conditions: The graph is undirected.; The graph is connected.; The graph has n vertices.

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A strongly connected directed graph with n vertices has at least n edges. This minimum is achieved when the graph forms a single directed cycle.

Conditions: The graph is directed.; The graph is strongly connected.; The graph has n vertices.