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(b) 7 8. 4 6

(b) 7 8. 4 6

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I just need b.) 

you can use a.) as an example

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**Determine the edge connectivity and the vertex connectivity of each graph.** **(a) Graph:** Diagram: - Vertices: 1, 2, 3, 4, 5, 6, 7, 8 - Edges: Connect the vertices in the following pattern: - 1 ↔ 2, 1 ↔ 4 - 2 ↔ 3, 2 ↔ 6 - 3 ↔ 4 - 6 ↔ 7, 6 ↔ 8 - 7 ↔ 8, 7 ↔ 5 **Solution:** - **Vertex connectivity** is 1. The removal of vertex 6 disconnects the graph into two connected components. At least one vertex must be removed to disconnect the graph. - **Edge connectivity** is 2. The removal of edges {1, 2} and {1, 4} disconnects vertex 1 from the rest of the graph. Removing any single edge leaves the graph connected. **(b) Graph:** Diagram: - Vertices: 1, 2, 3, 4, 5, 6, 7, 8 - Edges: Connect the vertices in the following pattern: - 1 ↔ 3, 1 ↔ 4 - 3 ↔ 2, 3 ↔ 7 - 2 ↔ 4, 2 ↔ 6 - 7 ↔ 5, 7 ↔ 8 (Note: No solution is provided in the image for graph (b).)
Transcribed Image Text:**Determine the edge connectivity and the vertex connectivity of each graph.** **(a) Graph:** Diagram: - Vertices: 1, 2, 3, 4, 5, 6, 7, 8 - Edges: Connect the vertices in the following pattern: - 1 ↔ 2, 1 ↔ 4 - 2 ↔ 3, 2 ↔ 6 - 3 ↔ 4 - 6 ↔ 7, 6 ↔ 8 - 7 ↔ 8, 7 ↔ 5 **Solution:** - **Vertex connectivity** is 1. The removal of vertex 6 disconnects the graph into two connected components. At least one vertex must be removed to disconnect the graph. - **Edge connectivity** is 2. The removal of edges {1, 2} and {1, 4} disconnects vertex 1 from the rest of the graph. Removing any single edge leaves the graph connected. **(b) Graph:** Diagram: - Vertices: 1, 2, 3, 4, 5, 6, 7, 8 - Edges: Connect the vertices in the following pattern: - 1 ↔ 3, 1 ↔ 4 - 3 ↔ 2, 3 ↔ 7 - 2 ↔ 4, 2 ↔ 6 - 7 ↔ 5, 7 ↔ 8 (Note: No solution is provided in the image for graph (b).)
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