Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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**Example 2: Solve the Traveling Salesman Problem for this graph**

This graph represents a network of five nodes labeled A, B, C, D, and E, with weighted edges connecting them. The weights on the edges represent the distances between nodes, which the traveler must consider when planning the most efficient route.

- **Edges and Weights:**
  - A to B: 600
  - A to C: 950
  - A to D: 750
  - A to E: 700
  - B to C: 500
  - B to D: 850
  - B to E: 550
  - C to D: 800
  - C to E: 650
  - D to E: 400

The objective is to find the shortest possible route that visits each node once and returns to the starting node (commonly known as solving the Traveling Salesman Problem or TSP).
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Transcribed Image Text:**Example 2: Solve the Traveling Salesman Problem for this graph** This graph represents a network of five nodes labeled A, B, C, D, and E, with weighted edges connecting them. The weights on the edges represent the distances between nodes, which the traveler must consider when planning the most efficient route. - **Edges and Weights:** - A to B: 600 - A to C: 950 - A to D: 750 - A to E: 700 - B to C: 500 - B to D: 850 - B to E: 550 - C to D: 800 - C to E: 650 - D to E: 400 The objective is to find the shortest possible route that visits each node once and returns to the starting node (commonly known as solving the Traveling Salesman Problem or TSP).
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Step 1

We will solve this problem using krukal's algorithm

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