Symmetric vs. Asymmetric

Symmetric

So far, we have been looking at symmetric relationships. These are dyads with ties which have no direction – i.e. the relationship is mutual.

In a symmetric dyad:

  • If Node A is connected to Node B,
  • then Node B is equally connected to Node A.

Symmetric networks are often used when:

  • the relationship is inherently mutual (e.g. collaboration)
  • or when data is simplified into a binary condition (i.e. tie vs. no tie).

Example: collaboration network

NoteJargon

Other ways of describing symmetric relationships:

  • mutual dyad
  • undirected ties
  • reciprocal relationship (in interpretation, though not always observed directly).

Asymmetric

Asymmetric relationships introduce direction.

In an asymmetric dyad, a tie goes from one node to another, but not necessarily in return:

  • Node A → Node B does not imply Node B → Node A

These are also known as directed ties, and are typically shown using arrows.

Asymmetric networks are useful when relationships involve flow, influence, or action.

Note

Examples include:

  • communication (who sends messages to whom)
  • citation networks (which paper cites another)
  • customer relationships
  • supervision or reporting structures

Example: directed relationship

NoteJargon

Other ways of describing asymmetric relationships:

  • directed dyad
  • non-reciprocal tie
  • sender → receiver relationship