Imagine a simple undirected graph with the maximum number of…

Imagine a simple undirected graph with the maximum number of edges. Which representation would be the better option for this graph: an adjacency matrix or an adjacency list? Justify your answer, including the time complexity for edge lookup AND the space complexity (in Big O) of the data structures. Use n for the cardinality of the set of vertices, and m for the cardinality of the set of edges.

Let G be an undirected graph whose vertices are the integers…

Let G be an undirected graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table below: Vertex Adjacent Vertices 1 (2, 3, 8) 2 (1, 3, 4)  3 (1, 2, 4) 4 (2, 3, 6) 5 (6, 7, 8) 6 (4, 5, 7) 7 (5, 6, 8) 8 (1, 5, 7) Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table above. Give the sequence of vertices of G visited using a BFS traversal starting at vertex 1.