419 109 441 020 286 136 139 204 168 363 199

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A sales Director who lives in a city a is required to fly to a regional‘s office and cities BCD in E. The weather graph shows the one-way airfares between any two cities. Use the brunt force method to find the optimal solution. 
**Graph Representation and Explanation:**

The image provides a weighted undirected graph in the shape of a pentagon with an internal star. The vertices of the graph are labeled A, B, C, D, and E. The edges connecting these vertices are labeled with weights.

- **Vertices and Edges:**
  - Vertex A is connected to:
    - B with a weight of 204
    - C with a weight of 363
    - D with a weight of 136
    - E with a weight of 109
  - Vertex B is connected to:
    - C with a weight of 168
    - D with a weight of 199
    - E with a weight of 441
  - Vertex C is connected to:
    - D with a weight of 139
    - E with a weight of 286
  - Vertex D is connected to:
    - E with a weight of 419

The edges form a pentagon with a star inside, indicating that every vertex is directly connected to every other vertex. Consequently, this is a representation of a complete graph, specifically \( K_5 \).

- **Edge Weights:**
  - A - B: 204
  - A - C: 363
  - A - D: 136
  - A - E: 109
  - B - C: 168
  - B - D: 199
  - B - E: 441
  - C - D: 139
  - C - E: 286
  - D - E: 419

This type of graph can be used to model various scenarios where multiple points need to be interconnected, each with a certain cost or distance, such as network design, travel planning, and more. The structure highlights the complexity and various paths one can take to traverse between any two points.
Transcribed Image Text:**Graph Representation and Explanation:** The image provides a weighted undirected graph in the shape of a pentagon with an internal star. The vertices of the graph are labeled A, B, C, D, and E. The edges connecting these vertices are labeled with weights. - **Vertices and Edges:** - Vertex A is connected to: - B with a weight of 204 - C with a weight of 363 - D with a weight of 136 - E with a weight of 109 - Vertex B is connected to: - C with a weight of 168 - D with a weight of 199 - E with a weight of 441 - Vertex C is connected to: - D with a weight of 139 - E with a weight of 286 - Vertex D is connected to: - E with a weight of 419 The edges form a pentagon with a star inside, indicating that every vertex is directly connected to every other vertex. Consequently, this is a representation of a complete graph, specifically \( K_5 \). - **Edge Weights:** - A - B: 204 - A - C: 363 - A - D: 136 - A - E: 109 - B - C: 168 - B - D: 199 - B - E: 441 - C - D: 139 - C - E: 286 - D - E: 419 This type of graph can be used to model various scenarios where multiple points need to be interconnected, each with a certain cost or distance, such as network design, travel planning, and more. The structure highlights the complexity and various paths one can take to traverse between any two points.
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