Solve the traveling salesperson problem for the graph below by finding the total weight of all Hamilton circuits. Then determine which circuit has the smallest total weight. (Hint: There are 6 circuits in total for this graph. Half of them are the same, but traveled in reverse order. This means you only need to consider 3 unique circuits.) 3 a 2 d 5 7 4 b 6 C

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter2: Parallel Lines
Section2.5: Convex Polygons
Problem 41E
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7.
Solve the traveling salesperson problem for the graph below by finding the total weight of all
Hamilton circuits. Then determine which circuit has the smallest total weight.
(Hint: There are 6 circuits in total for this graph. Half of them are the same, but traveled in reverse
order. This means you only need to consider 3 unique circuits.)
Path
a
2
d
The path with the minimum weight is:
5
3
7
4
Weight
b
6
C
Transcribed Image Text:7. Solve the traveling salesperson problem for the graph below by finding the total weight of all Hamilton circuits. Then determine which circuit has the smallest total weight. (Hint: There are 6 circuits in total for this graph. Half of them are the same, but traveled in reverse order. This means you only need to consider 3 unique circuits.) Path a 2 d The path with the minimum weight is: 5 3 7 4 Weight b 6 C
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