Given the following directed graph G: a. What is the in-degree of vertex 6? b. What is the out-degree of vertex 4? 3 c. Find a walk of length 5 from vertex 5 to vertex 3. d. Find a path of length 6 from vertex 1 to vertex 2. e. Find a circuit of length 7 starting at vertex 3. 5 f. Find a cycle of length 5 starting at vertex 4. g. Is there an edge from vertex 4 to vertex 5 in G? Why? (6 h. Is there an edge from vertex 4 to vertex 2 in G5? Why?

Q: Analyze each graph and explain why the graph does or does not have an Euler circuit. If it does,…

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A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Analyze each graph and explain why the graph does or does not have an Euler circuit. If it does,…

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Q: L P Consider the graph given above. Give an Euler circuit through the graph by listing the vertices…

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Q: 14. Let G be the graph with vertices v1, v2, and v3 as shown below. What is the number of walks of…

A: Walk :- A walk in graph is a sequence of vertices and edges.

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Q: (c) Prove that the two graphs below are isomorphic.

A: Given, We will prove these two graphs are isomorphic.

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Q: C D B E A Find an Euler path for the graph. Enter your response as a sequence of vertices in the…

A: We have to find an Eulerian path for the given graph.

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Q: A cycle in a simple graph is a closed walk of length greater than m. What is the value of m?

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

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Q: (iv) Give an example of a closed walk of length four in the graph that is not a circuit. (v) Give…

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