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 in the poset, then the point corresponding to appears lower in the drawing than the point
corresponding to .
- 2. The line segment between the points corresponding to any two elements and of the poset is included in the
drawing Iff covers or covers .
Hasse diagrams are also called Upward Drawings.
© 1996-9 Eric W. Weisstein
1999-05-25