Let P be the poset whose Hasse diagram is shown in the figure. a b c d e f Please do the

Chapter 0, Problem 9

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Let P be the poset whose Hasse diagram is shown in the figure. a b c d e f Please do the following: a. List all pairs of elements that are incomparable in P. b. Find three linear extensions of P that form a realizer of P. Verify that your solution is correct by finding, for each incomparable pair fx; yg, one extension in which x < y and another in which y < x.

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