
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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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.


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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