Freeman’s Approach to Degree Centrality

Freeman’s Approach to Degree Centrality:

• Centrality is based on connections between nodes in the network
• Measure in-degree and the out-degree and degree percentage of entire network for each node
• Can measure network statistics such as mean, standard deviation, etc.
• Network Centralization calculation compares a network to the perfect star network of the same size
  1. A star network of size N (nodes)
     • Has one node whose in-degree is N-1 and whose out-degree is 0
     • Other N-1 nodes have out-degree 1 and in-degree 0
  2. Network Centralization = (N * D – m) / ((N-1)(N-2)) where N is the number of nodes, D is the max degree whether that is in or out, and m is the number of edges

For more information:

1. http://www.faculty.ucr.edu/~hanneman/nettext/C10_Centrality.html#Freeman
2. http://sna.cs.ccu.edu.tw/centrality_slide.pdf

1. Collaboration and Integration of Community-Based Health and Human Services in a Nonprofit Managed Care System
2. Interorganization Relationships Among HIV/AIDS Service Organizations in Baltimore: A Network Analysis

3. Cheryl Alexander, Marina Piazza, Debra Mekos, Thomas Valente, Peers, schools, and adolescent cigarette smoking, Journal of Adolescent Health, Volume 29, Issue 1, July 2001, Pages 22-30, ISSN 1054-139X, DOI: 10.1016/S1054-139X(01)00210-5.

   (http://www.sciencedirect.com/science/article/B6T80-43B290W-4/2/8290dfdd3eb3d2e76e0fc7ec07681abd)