On the graph to the right, is it possible to find a path that begins with vertex A B (a F, contains all the edges exactly once, and ends with vertex E? If so, determine one such path. ' C on D Choose the correct answer below. {:3 A. Yes, it is possible. One such path is E, C, A, B, D, F. {:3 B. Yes, it is possible. One such path is F, E, C, D, B, A, C, D, F, E. '2: ,3 C. Yes, it is possible. One such path is F, D, C, A, B, D, C, E. .;_ ,2- D. No, it is not possible. pom s possn e The graph shown has at least one Euler path. Use the A B graph to answer the questions below. Determine an Euler path that begins with vertex B. A partial path has been provided. Complete the path so that it is an Euler path. 3, D, C,A, D, E, D, D Draw a graph that models the connecting relationships in the oor plan. Use vertices to represent the rooms and the outside, and edges to represent the connecting doors. Choose the correct answer below. a) Represent the map to the right as a graph. Use the abbreviations to label the vertices of the graph. WA MT OR b) Determine whether the graph in part (a) has an Euler circuit. If yes, give one such Euler circuit. ID WY . . . a) Choose the correct answer below. O A. WA MT WY MT O B. ID WA OR OR WY ID b) Does the above graph have an Euler circuit? Select the correct choice before and, if necessary, fill in the answer box to complete your choice. O A. Yes; one such Euler circuit is OR, WA, ID, MT, WY, O B. No TiThe graph shown has at least one Euler circuit. Determine C ' an Euler circuit that begins and ends with vertex E. E) Complete the path so that it is an Euler circuit. E, B, A, c, D, A, D DD point(s) possible Use Fleury's algorithm to determine an Euler path. B C . . . D Choose the correct answer below. C O A. C,D,F,C,I,F, G,I, H,E,D,B,C E F O B. B,C,D,B,H,I,C, F,I, G, F,D,E,G, H O C. B,C,I, H,B,D,C,F, I,H,G,E,D,F,G, H G O D. D,E,G,F,C, D,B,C,I,F, G,I,H,G H