(i) Give a formal definition of a graph G and its complement G. (ii) Draw the graph with degree sequence 4, 4, 4, 4, 4, 4 and show that it is unique. (iii) Suppose a graph G has (0, 1) adjacency matrix A(G) = A. Write down the adjacency matrix of G in terms of the all-one matrix J and identity matrix I.
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