Figure 1
From: Homophily influences ranking of minorities in social networks

Disproportionate degree ranks and asymmetric effects of homophily on Barabási-Albert networks with minority and majority groups and homophily. The minority group (orange nodes) represents 20% of the population. Homophily is regulated by the parameter h. Panel A shows a maximally heterophilic network (h = 0). As homophily increases, the likelihood for nodes to connect with other nodes of the same color increases. Panel E finally shows a maximally homophilic network (h = 1.0). The top row is a schematic of the network topology generated from the model (Eq. (1)) for a small network with 100 nodes. The second row represents the resulting degree growth during the simulation. In the heterophilic regime (0 ≤ h < 0.5), the degree of the minority group grows faster than majority. In the homophilic regime (0.5 < h ≤ 1) the growth of the degree slows down for minorities. The third row represents the degree distribution generated by the model for the two types of node. The inset in the third row depicts the share of total degree for minority and majority groups and the dashed lines show the fraction size of the group. For the second and third row the results are given for a network with N = 5000 nodes, and averaged over 20 simulations.