Social Media Marketing: Foundation
Network Analysis at Three Levels
Dyad level
Pairwise relations between actors - `do a pair of actors with business ties tend to develop affective ties?’
Node level
Characteristics of nodes - `do actors with more friends tend to have a stronger immune system?’
Network level
Studying network as a whole - `do well-connected networks tend to diffuse ideas faster?’
Mathematical Representation of Network
Graphs are mathematical constructs to conceptualize networks. A graph \(G(V,E)\) consists of a set of vertices \(V\) (also called nodes or points) and a set of edges \(E\) (or links or lines).
The edges connect pair of vertices. When an edge connects two vertices, we say they are adjacent and hence have ‘a tie’. The number of edges incident on a node is called the `degree’ of that node.
How social networks form is a topic of intense research across various fields. For example, in social sciences, researchers have observed that people tend to have similar friends as the most pervasive feature of social networks. This tendency of individuals to bond with similar others is termed as homophily.
Social Networks
Networks are mechanisms or tools through which we analyze the relationships in social systems among entities that make up the system, which we call
actorsornodes.Relationships among actors/nodes can be of various kinds, and each type can give rise to a corresponding network. Node’s or actor’s position in a social network in conjunction with the type of relationship determines in part the constraints and opportunities that it faces. Therefore, identifying that position is important for predicting the actor’s outcomes such as behavior, performance, or beliefs.
For example, in a social network such as Facebook, nodes are individuals; in a cellular network, nodes could be towers (communication) or cells (biological).