On the Topology of the Facebook Page Network

Abstract

The Facebook Page Network (FPN) is a platform for Businesses, Public Figures and Organizations (BPOs) to connect with individuals and other BPOs in the digital space. For over a decade scale-free networks have most appropriately described a variety of seemingly disparate physical, biological and social real-world systems unified by similar network properties such as scale-invariance, growth via a preferential attachment mechanism, and a power law degree distribution P(k) = ck^-{\lambda} where typically 2<{\lambda}<3. In this paper we show that both the Facebook Page Network and its BPO-BPO subnetwork suggest power law and scale-free characteristics. We argue that social media analysts must consider the logarithmic and non-linear properties of social media audiences of scale.