Statistical Properties of Social Networks

In this chapter we describe patterns that occur in the structure of social networks, represented as graphs. We describe two main classes of properties, static properties, or properties describing the structure of snapshots of graphs; and dynamic properties, properties describing how the structure evolves over time. These properties may be for unweighted or weighted graphs, where weights may represent multi-edges (e.g. multiple phone calls from one person to another), or edge weights (e.g. monetary amounts between a donor and a recipient in a political donation network).