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Question: 1. Draw all trees on five vertices.

2. What must be true about the degree sequence of a tree?

3. Suppose a graph G has 364 vertices and 365 edges. Can it be a tree?

4. Suppose a graph G has 28 vertices and 27 edges. Must it be a tree?

5. Suppose a connected graph G with 432,894,789 vertices has no cycles. How many edges might it have?

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