Explanation Given: The table, A B C D A * $ 460 $ 200 $ 200 B $ 460 * $ 720 $ 680 C $ 200 $ 720 * $ 105 D $ 210 $ 680 $ 105 * Table shows one way airfares between cities. Formula used: The number of possible Hamilton circuits are ( n − 1 ) ! Calculation: To find optimal route through Brute force method, First, model the table as a complete weighted graph Let’s draw the graph for the given table, Now, Draw all the cities as vertices as shown below: Then, Draw edges to connect cities where airfares between two cities are given in the table. Further, assign weights to the edges as shown in given table So, the above graph shows the perfect model of the given table. Here, vertices represent cities and weight on appropriate edges represents airfares. Now, find the number of possible Hamilton circuits are; ( n − 1 ) ! = ( 4 − 1 ) ! = 3 ! = 6 Also, A , B , C , D , A A , B , D , C , A A , C

18th Edition

ISBN: 9780135315811

Author: Pearson

Publisher: PEARSON C

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Chapter 14, Problem 16T

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To calculate: Optimal route by brute force method and total cost for Hamilton circuit.

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Chapter 14, Problem 15T

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Chapter 14 Solutions

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