Let G be the graph on vertices V1, V2, ..., V8 with the following adjacency matrix: /01000001 1 0 0 10000 100 100 1 000001 1 0 00 100 000 0001000 0001 0000 1 1 00000 i. Use the connectedness algorithm to find the connected component of v1. ii. Sketch all the graphs (up to isomorphism) on four vertices that are isomorphic to an induced subgraph of G (identifying a suitable induced subgraph in each case). iii. Sketch all the graphs (up to isomorphism) on four vertices that are not iso- morphic to an induced subgraph of G. iv. Find a graph on four vertices that is isomorphic to a subgraph, but not to an induced subgraph, of G. Explain your answer.

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A: Step 1:Step 2: