We will investigate how to determine Hamilton paths and circuits
Hamilton path: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex can be different.
Hamilton circuit: A path that connect each vertex/point once without repetition of a point/vertex. However, the starting and ending point/vertex must be the same!
As the starting point we can choose any of the points. We will choose point ( F ) and trace a path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex to be ( F ). Such a path is called a Hamilton circuit per definition.
We will choose a different point now. Lets choose ( E ) as our starting point and trace the path as follows:
The above path covers all the vertices/points with the starting and ending point/vertex are different with be ( E ) and ( C ), respectively. Such a path is called a Hamilton path per definition.
One more thing to note is that all Hamilton circuits can be converted into a Hamilton path like follows:
The above path is a hamilton path that can be formed from the Hamilton circuit example.
But its not necessary for all Hamilton paths to form a Hamilton circuit! Unfortunately, this is not the case in the network given. Every point is in a closed loop i.e there is no loose end/vertex that is not connected by any other vertex.
Answer:
0.17
Step-by-step explanation:
0.017 times 10 will equal to 0.17 as you will need to move the decimal point forward by one
Answer: the price of a bottle of water is $1.5
Step-by-step explanation:
Let x represent the price of one pretzel.
Let y represent the price of one bottle of water.
At the shopping mall, Joaquin bought 4 pretzels and a bottle of water for 11.50. It means that
4x + y = 11.5- - - - - - - - - -1
Kelly bought 3 pretzels and a bottle of water for 9.00. It means that
3x + y = 9- - - - - - - - - - - - 2
Subtracting equation 2 from equation 1, it becomes
x = 2.5
Substituting x = 2.5 into equation 1, it becomes
4 × 2.5 + y = 11.5
10 + y = 11.5
y = 11.5 - 10
y = 1.5
Answer:
Sorry, I cant understand rewrite it again.