Describing Networks
We can describe networks not only by their structure, but also by the patterns of relationships within them.
Popularity
Popularity refers to how frequently a node is connected to by others.
This is often measured using:
- degree
- or in-degree (in directed networks)
Popular nodes are often highly visible in the network.
Reciprocity
Reciprocity describes the extent to which relationships are mutual.
In a directed network:
- A → B and B → A = reciprocal tie
High reciprocity suggests:
- mutual relationships
- two-way interactions
Transitivity
Transitivity describes the tendency for connected nodes to form closed triangles.
For example:
- if A is connected to B
- and B is connected to C
- then A is also likely to be connected to C
High transitivity suggests:
- tightly connected groups
- clustering or community structure