Relation in a set E so that for every ordered pair (

*x*,*y*) of distinct elements of E, we have either (*x*,*y*), or (*y*,*x*), but never both at the same time.In the arrow representation of an asymmetric relation, the relation is connected if there is exactly one arrow between every pair of distinct elements.

### Examples

- The relation “…is less than…” in the set E = {2, 3, 4, 5, 6} is an asymmetric relation.

- In a set of numbers, the relations of inequalities in the strict sense, like < and >, are asymmetric relations.