Answer to Question #223330 in Discrete Mathematics for Kofy

Question #223330
Describe the Hasse diagram formed by the Relation "x is a divisor of y" for the set 
A = {1, 3, 6, 12, 24, 48}





1
Expert's answer
2021-08-05T08:19:03-0400

A Hasse diagram is a graphical rendering of a partially ordered set displayed via the cover relation of the partially ordered set with an implied upward orientation. A point is drawn for each element of the poset, and line segments are drawn between these points according to the following two rules:


1. If "x<y" in the poset, then the point corresponding to "x" appears lower in the drawing than the point corresponding to "y".


2. The line segment between the points corresponding to any two elements "x" and "y" of the poset is included in the drawing iff "x" covers "y" or "y" covers "x" .


In our case, iff "x<y" iff "x" a divisor of "y." The Hasse diagram is the following:





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