Let G be a simple graph with exactly 11 vertices. Prove that G or its complement G must be non-planar. Hint: The maximum number of edges in a planar graph with n vertices is 3n − 6. Please write in complete sentences, include all details, show all of your work, and clarify all of your reasoning.

Q: 3. Determine if the following graph is a bipartite graph. Write each partite set.

A: A graph G is bipartite if and only if all cycles in G are of even length.

Q: Need help with this question. Please explain each step and neatly type up. Thank you :)

A: Step 1: Step 2: Step 3: Step 4:

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A: We use definition of Complete graph.

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Q: Please do not give solution in image format thanku

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A: The formula for multiple connected component c is, v +f = e + c + 1

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