Question: The directed graph G for a relation R on set A = {1, 2, 3, 4} is shown in Fig. 7.24. (a) Verify that (A,

The directed graph G for a relation R on set A = {1, 2, 3, 4} is shown in Fig. 7.24.
(a) Verify that (A, R) is a poset and find its Hasse diagram.
(b) Topologically sort (A, R).
(c) How many more directed edges are needed in Fig. 7.24 to extend (A, R) to a total order?

4 Figure 7.24

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