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This page is about Graph of Relation. For other uses, see graph.


Let $S \times T$ be the cartesian product of two sets $S$ and $T$.

Let $\RR$ be a relation on $S \times T$.

The graph of $\RR$ is the set of all ordered pairs $\tuple {s, t}$ of $S \times T$ such that $s \mathrel \RR t$:

$\map \TT \RR = \set {\tuple {s, t}: s \mathrel \RR t}$

Also known as

The graph of a relation is sometimes seen referred to as its truth set.

Also see

  • Results about graphs of relations can be found here.