# 10+ Hasse Diagram Greatest And Least Element Background

Monday, March 16, 2020

*Edit***10+ Hasse Diagram Greatest And Least Element Background**. The least upper bound and the greatest lower bound do not always exist. The greatest and least elements are unique when they exist.

A hasse diagram is a graphical representation of a partially ordered set. So, how we construct the hasse diagram of18:07the poset poset x less than equal to, where x is 1, 2, 3, 4, because earlier we have shown18:23that for this relation are less than equal to it is a poset. In a hasse diagram, a vertex corresponds to the greatest element if there is a downward path from this vertex to any other vertex.

### They are respectively note, however, that this example is quite special:

Is a partial order relation. Greatest element and least element: Transcribed image text from this question. In a hasse diagram, a vertex corresponds to the greatest element if there is a downward path from this vertex to any other vertex.