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The Diagram at the Right Is the Hasse Diagram for a Partially

Question 55

Short Answer

The diagram at the right is the Hasse diagram for a partially ordered set. Referring to this diagram:
(a) List the maximal elements
(b) List the minimal elements
(c) Find all upper bounds for f, g
(d) Find all lower bounds for d, f
(e) Find lub({g, j, m})
(f) Find glb({d, e})
(g) Find the greatest element
(h) Find the least element
(i) Use a topological sort to order the elements of the poset represented by this Hasse diagram.
The diagram at the right is the Hasse diagram for a partially ordered set. Referring to this diagram: (a) List the maximal elements (b) List the minimal elements (c) Find all upper bounds for  f, g  (d) Find all lower bounds for  d, f  (e) Find lub({g, j, m})  (f) Find  glb({d, e})  (g) Find the greatest element (h) Find the least element (i) Use a topological sort to order the elements of the poset represented by this Hasse diagram.

Correct Answer:

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(a) a, b .
(b) l, m .
(c) b...

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