For the graph on the right, a. Determine if the graph must have Hamilton circuits. b. If the graph must have Hamilton circuits, determine the number of such circuits. a. Must the graph have Hamilton circuits? Choose the correct answer below. A. Yes, it must because the graph is a complete graph that contains three or more vertices. O B. No, it might not because the graph is a complete graph that contains three or more vertices. OC. No, it might not because the graph is not a complete graph that contains less than three vertices. OD. Yes, it must because the graph is a complete graph that contains less than three vertices. b. How many Hamilton circuits, if any, does the graph have? Select the correct choice below and, if necessary, fill in the answer box to complete O A. The graph has Hamilton circuits. O B. The graph does not have any Hamilton circuits.

Identify all edges on the graph that are bridges. E B. ..... The edges are bridges. (Use a comma to separate answers as needed.)

a. the number of edges in the graph, b. the number of vertices in the graph, c. the number of vertices that are of odd degree, d. whether the graph is connected, and e. whether the graph is a complete graph. 5.

2) Determine which of the graphs, if any, is/are connected. There can be more than one answer here. Either circle the letter(s) of the connected graph(s) or list the letters on the line given. If there are no connected graphs here, state NONE on the line provided. B d d 1 2)

Identify three edges in the graph that are bridges. Then show the components of the resulting graph once each bridge is removed. A Click the icon to view the graph. Select the three correct answers below. DA. O B. Edge DF is a bridge. Edge HH is a bridge. G Be O C. Edge CD is a bridge. D. Edge DE is a bridge. D G Be Be

Write the equation of the function shown below if it is known that f(0) = -18 25 20+ 15 10+ st ↓

B Complete the following for the graph on the right. a. Determine if the graph must have Hamilton circuits. G b. If the graph must have Hamilton circuits, determine the number of such H circuits. K ..... a. Must the graph have Hamilton circuits? O A. Yes, it must because it is complete and has at least three vertices. O B. Yes, it must because it is not complete. O C. No, it might not because it is complete and has at least three vertices. OD. No, it might not because it is not complete. b. How many circuits, if any, does the graph have? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The graph has Hamilton circuits. O B. The graph does not have any Hamilton circuits.