Question

Draw the diagram of the poset P = (X, P) where X = {{1, 3, 4, 5, 6}, {1, 2, 4, 5, 6}, {1, 2, 3, 6}, {1, 2, 3}, {1, 5, 6}, {1, 3, 6}, {1, 2}, {1, 6}, {3, 5}, {1}, {3}, {4}} and P is the partial order on X given by the "is a subset of" relationship.

          Draw the diagram of the poset P = (X, P) where
X = {{1, 3, 4, 5, 6}, {1, 2, 4, 5, 6}, {1, 2, 3, 6}, {1, 2, 3}, {1, 5, 6}, {1, 3, 6}, {1, 2}, {1, 6}, {3, 5}, {1}, {3}, {4}}
and P is the partial order on X given by the "is a subset of" relationship.

Draw the diagram of the poset P = (X, P) where
X = 1, 3, 4, 5, 6, 1, 2, 4, 5, 6, 1, 2, 3, 6, 1, 2, 3, 1, 5, 6, 1, 3, 6, 1, 2, 1, 6, 3, 5, 1, 3, 4
and P is the partial order on X given by the "is a subset of" relationship.

Added by Hugo J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

03/15/2023

Step 1

First, we need to find the minimal elements of the poset. These are the elements that are not a subset of any other element in the poset. In this case, the minimal elements are {1}, {3}, and {4}. Show more…

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Draw the diagram of the poset P = (X,P) where X = {{1,3,4,5,6}, {1,2,4,5,6}, {1,2,3,6}, {1,2,3}, {1,5,6}, {1,3,6}, {1,2}, {1,6}, {3,5}, {1}, {3}, {4}} and P is the partial order on X given by the "is a subset of" relationship.