Let G be the graph on vertices V1, V2, ..., U8 with the following adjacency matrix: 0100 000 1 0 1 00001 0 100 100 1 000001 10 00100000 0 0 0 1 0000 000 10000 1 1 100 000 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). Sketch all the graphs (up to isomorphism) on four vertices that are not iso- morphic to an induced subgraph of G. 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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