Explanation Given information: A = { 2 , 3 , 4 , 6 , 8 , 12 , 18 } . Concept used: Hasse Diagram: It is a mathematical diagram representing a partially ordered set with finite number or members. Involving transitive reduction. Calculation: The set has two minimal elements 2 and 3 . Either one may be chosen, say pick 3 . The beginning of the total order is Total order: 3 Set A 1 = A − { 3 } , you can indicate this by removing 3 from the Hasse diagram, as shown below. Next, choose a minimal element from A 1 − { 1 } . Thus, there are two minimal elements 2 and 5 . Either one may be chosen, pick 5 . The total order thus far is Total order 1 ≤ 5 Set A 1 = A − { 1 } − { 5 } = A − { 1 , 5 } . You can indicate this by removing 5 from the Hasse diagram as follows. Next, choose the minimal element from A 1 − { 3 }

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ISBN: 9780357035283

Author: EPP

Publisher: Cengage

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Chapter 8.5, Problem 45ES

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A topological sorting for the “divides” relation on the set A={2,3,4,6,8,12,18}.

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Chapter 8.5, Problem 44ES

Chapter 8.5, Problem 46ES

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Chapter 8 Solutions

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A topological sorting for the “divides” relation on the set A = { 2 , 3 , 4 , 6 , 8 , 12 , 18 } .

Solution Summary: The author describes the Hasse diagram, which is a mathematical diagram representing the partially ordered set with finite number or members.

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To find:

A topological sorting for the “divides” relation on the set A={2,3,4,6,8,12,18}.

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Chapter 8 Solutions

A topological sorting for the “divides” relation on the set A = { 2 , 3 , 4 , 6 , 8 , 12 , 18 } .

Solution Summary: The author describes the Hasse diagram, which is a mathematical diagram representing the partially ordered set with finite number or members.

Videos

To find: A topological sorting for the “divides” relation on the set A={2,3,4,6,8,12,18}.

Want to see the full answer?

Chapter 8 Solutions

To find:

A topological sorting for the “divides” relation on the set A={2,3,4,6,8,12,18}.