Define Hasse diagram
Answers
Answer:
Step-by-step explanation:
. 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.
Hasse diagrams are also called upward drawings. Hasse diagrams for a graph g are implemented as HasseDiagram[g] in the Wolfram Language package Combinatorica` , where g is a directed acyclic Combinatorica graph object.
HasseDiagramBooleanAlgebras
The above figures show the Hasse diagrams for Boolean algebras of orders n=2, 3, 4, and 5. In particular, these figures illustrate the partition between left and right halves of the lattice, each of which is the Boolean algebra on n-1 elements (Skiena 1990, pp. 169-170). These correspond precisely to the hypercube graphs Q_n.