Let S = {1, 2, 3}. A relation R is defined on S S by (a, b) R (c, d) if a c and b d. (a)

Chapter 11, Problem 5

(choose chapter or problem)

Let S = {1, 2, 3}. A relation R is defined on S S by (a, b) R (c, d) if a c and b d. (a) Prove that (S,R) is a poset. (b) Draw a Hasse diagram of (S,R). (c) Give a topological sorting of (S,R). (d) Is (S,R) a lattice?

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