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(Solved) : 7 Consider Graph Complete Following Exercises 11 Marks Total 10 12 13 15 10 17 Graph Deno Q32083135 . . .

7. Consider the graph below and complete the following exercises. (11 marks total) 10 12 13 15 10 17 a. If the graph above is denoted G where G (V, E), what are V and E? b. Provide an adjacency matrix representation of this graph. c. Provide an adjacency list representation of this graph. d. Which vertex (or vertices) has (or have) the largest degree? e. Specify a path from vertex 15 to vertex 9 that does not contain the vertex 12, the vertex 13, or any path from vertex 0 to vertex 5. f. If you were to remove vertices 8, 9, and 10 from the graph (along with all the edges that connect these vertices) then you would have a new graph. In this new graph, which of the vertices would be cut vertices? Consider the smallest set of edges E that could need to be added to the graph above such that the graph (V, EUE) contains K4. Provide an exhaustive list of the elements of E and specify the cardinality of E g.

7. Consider the graph below and complete the following exercises. (11 marks total) 10 12 13 15 10 17 a. If the graph above is denoted G where G (V, E), what are V and E? b. Provide an adjacency matrix representation of this graph. c. Provide an adjacency list representation of this graph. d. Which vertex (or vertices) has (or have) the largest degree? e. Specify a path from vertex 15 to vertex 9 that does not contain the vertex 12, the vertex 13, or any path from vertex 0 to vertex 5. f. If you were to remove vertices 8, 9, and 10 from the graph (along with all the edges that connect these vertices) then you would have a new graph. In this new graph, which of the vertices would be cut vertices? Consider the smallest set of edges E” that could need to be added to the graph above such that the graph (V, EUE”) contains K4. Provide an exhaustive list of the elements of E” and specify the cardinality of E” g. Show transcribed image text

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