Question: Consider a graph G with vertex set V and edge set E. Suppose that V = P({1,2,3}), and that {S, T} E if and

Consider a graph G with vertex set V and edge set E. Suppose that V = P({1,2,3}), and that {S, T} E if and

Consider a graph G with vertex set V and edge set E. Suppose that V = P({1,2,3}), and that {S, T} E if and only if |ST|+|TS| = 1. (a) List all the edges in the set E. (b) What are the neighbours of the vertex {3}? (c) What is the neighbourhood of A = {{1}, {1,2}}? (d) What is the degree of the vertex {1, 2}? (e) Draw the graph G. (f) Find a path from {1,2} to {3}?

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