Let H be the graph below: (a) How many trees, with vertex set [7], have H as a subgraph? (b) How many graphs, with vertex set [n] and n > 7, have H as a subgraph? (c) How many graphs, with vertex set [n] and n > 7, have H as an induced subgraph?

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A: 15 vertices and 105 edges

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A: We have graph K33 with 33 vertices connected to each other. So, we have a complete graph K33

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A:

Q: 12. Let G be a graph in which there is no pair of adjacent edges. What can you say about the degree…

A: See picture

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A:

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A: The given question can be solved as shown in step2.

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Q: 1) Find the degree of each vertex in the following graph

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Q: 7. Give an example of a simple graph that satisfies the specified conditions or show that no such…

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