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

Below are the first five letters of the alphabet, designed to fit the vertices of a grid. Below them in subparts (a) through (d) are the first four letters that were designed on other grids. Draw the "e" that goes with each type style, or font. As stated many times in this book, we want you to go beyond random trial and error. First, take some time and think. One strategy is to try to write the rules that the writer of the letter used. Another strategy is to try to articulate the common characteristics of the four letters.t abcde (a) (b) (c) تحاد EEEE abcd. BA م داد plo EEEE 0

A taxi company is trying to find the quickest route during rush hour traffic from the airport to a major hotel. The roads from the airport to the hotel are represented by the grid below. Hotel Airport If the taxi must mover closer to the hotel with each turn, then the number of different possible routes is

In Flatland there are four cities, Abbott, Banchoff, Charlie and Dimension. The distance from The distance from Abbott to Banchoff is 9 miles. The distance from Abbott to Charlie is 8 miles. The distance from Abbott to Dimension is 11 miles. The distance from Banchoff to Charlie is 15 miles. The distance from Banchoff to Dimension is 13 miles. The distance from Charlie to Dimension is 12 miles. Sketch a graph to represent the traveling salesman problem for this situation, and find the length of the shortest path. Remember to begin and end in the same city. The shortest path is miles.

a and b

15 D 8 2 B E 14 10 A Apply the sorted edges algorithm to the graph above. Find the total cost of the resulting circuit.