Solution Found!
a. Draw the Hasse diagram for the partial ordering x divides y on the set 52, 3, 5, 7
Chapter 5, Problem 34(choose chapter or problem)
a. Draw the Hasse diagram for the partial ordering “x divides y” on the set {2, 3, 5, 7, 21, 42, 105, 210}. Name any least elements, minimal elements, greatest elements, and maximal elements. Name a totally ordered subset with four elements.
b. Draw the Hasse diagram for the partial ordering “x divides y” on the set {3, 6, 9, 18, 54, 72, 108, 162}. Name any least elements, minimal elements, greatest elements, and maximal elements. Name any unrelated elements.
Questions & Answers
QUESTION:
a. Draw the Hasse diagram for the partial ordering “x divides y” on the set {2, 3, 5, 7, 21, 42, 105, 210}. Name any least elements, minimal elements, greatest elements, and maximal elements. Name a totally ordered subset with four elements.
b. Draw the Hasse diagram for the partial ordering “x divides y” on the set {3, 6, 9, 18, 54, 72, 108, 162}. Name any least elements, minimal elements, greatest elements, and maximal elements. Name any unrelated elements.
ANSWER:Step 1 of 3
The partial order relationship follows the property of reflexivity, antisymmetric, and transitive property. And the hash table contains all three properties.