The dyadic components of sign relations have graph‑theoretic representations, as digraphs (or directed graphs), which provide concise pictures of their structural and potential dynamic properties.
By way of terminology, a directed edge 
is called an arc from point 
to point 
and a self‑loop 
is called a sling at 
The denotative components 
and 
can be represented as digraphs on the six points of their common world set 
The arcs are given as follows.
- Denotative Component
- has an arc from each point of
to 
has an arc from each point of 
to 
- Denotative Component
- has an arc from each point of
to
has an arc from each point of 
to
and can be interpreted as transition digraphs which chart the succession of steps or the connection of states in a computational process. If the graphs are read in that way, the denotational arcs summarize the upshots of the computations involved when the interpreters 
and 
evaluate the signs in 
according to their own frames of reference.
The connotative components 
and 
can be represented as digraphs on the four points of their common syntactic domain 
Since and are semiotic equivalence relations, their digraphs conform to the pattern manifested by all digraphs of equivalence relations. In general, a digraph of an equivalence relation falls into connected components which correspond to the parts of the associated partition, with a complete digraph on the points of each part, and no other arcs. In the present case, the arcs are given as follows.
- Connotative Component
- has the structure of a semiotic equivalence relation on
There is a sling at each point of 
arcs in both directions between the points of 
and arcs in both directions between the points of 
- Connotative Component
- has the structure of a semiotic equivalence relation on
There is a sling at each point of arcs in both directions between the points of 
and arcs in both directions between the points of 
Taken as transition digraphs, and highlight the associations permitted between equivalent signs, as the equivalence is judged by the respective interpreters and
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