If is a finite poset, then it can be represented by a Hasse diagram, which is a graph whose vertices are elements of and the edges correspond to the covering relation. More precisely an edge from to is present if
There is no such that and . (There are no in-between elements.)
If , then in is drawn higher than . Because of that, the direction of the edges is never indicated in a Hasse diagram.
Even though (since ), there is no edge directly between them because there are inbetween elements: and . However, there still remains an indirect path from to .
|Date of creation||2013-03-22 12:15:23|
|Last modified on||2013-03-22 12:15:23|
|Last modified by||bbukh (348)|