18: Graphs

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Suppose you have an undirected graph with vertices V = {1, 2, 3, 4, 5, 6, 7}. Further suppose:

that vertices {1, 2, 3, 4} form a complete subgraph
that vertices {5, 6, 7} are a connected component
that vertices {5, 7} are not adjacent
that there is no path from vertex 1 to vertex 5

(You may want to review the relevant lecture notes.)

A. (1 point) Draw the graph.

B. (1 point) Show the adjacency list representation of the graph described above. For example, for the undirected graph where A is a neighbor of B, and B is a neighbor of C would be represented as:

A -> [B]
B -> [A, C]
C -> [B]

C. (0 points) Don’t show the adjacency matrix representation of the graph described above. Ain’t nobody got time to ASCII-art out a 7x7 matrix. Seriously, go outside for a walk or something.