# Asymmetric relation

In mathematics, an asymmetric relation is a binary relation ${\displaystyle R}$ on a set ${\displaystyle X}$ where for all ${\displaystyle a,b\in X,}$ if ${\displaystyle a}$ is related to ${\displaystyle b}$ then ${\displaystyle b}$ is not related to ${\displaystyle a.}$[1]