- Social Network Analysis is the study of pattern of interaction between actors
- Focus on the social actor and the relationship between the actors
- Each participant in the community is called an actor and depicted as a node
- Valued relations between actors are depicted as links, or ties, either directed or undirected, between the corresponding nodes
It is a undirected graph.
Geodesic Distance
| Alice | Bob | Carol | David | Eva | |
| Alice | - | 1 | 1 | 1 | 2 |
| Bob | 1 | - | 2 | 1 | 2 |
| Carol | 1 | 2 | - | 1 | 2 |
| David | 1 | 1 | 1 | - | 1 |
| Eva | 2 | 2 | 2 | 1 | - |
Cutpoint
David is the cutpoint of the network. If David is removed, the connection between Eva to Alice,Bob,Carol would be cut.
Bridge
The bridge is the connection between David-Eva. It it is removed, Eva would be isolated.
Density
2L / G(G-1) = 2*6 / (5*4) = 0.6
Degree Centrality:
Alice - 3, Bob - 2, Carol - 2, David - 4, Eva - 1
Group Degree Centrality:
(1 + 2 + 2 + 0 + 3) / (4 * 3) = 0.67
Closeness Centrality:
Alice - 0.2, Bob - 0.167, Carol - 0.167, David - 0.25, Eva - 0.143
Group Closeness Centrality:
= [(0.25 – 0.2) + (0.25-0.167) + (0.25 – 0.167) + (0.25 – 0.143)] / {[(5-1)(5-2)]/(2*5-3)}
= 0.189
Betweeness Centrality:
Alice - 1/2 = 0.5
Bob - 0
Carol - 0
David - 1/2 + 1 + 1 + 1 = 3.5 (B-C, B-E, C-E, A-E)
Eva - 0
Group Betweeness Centralization:
=2 * [(3.5 - 0.5) + 3.5 + 3.5 + 3.5] / [(5-1)^2 * (5-2)]
= 0.5625
c)
When we use the degree, closeness and group centralization index to measure the centralization of the network, we find that the normalized index is about 0.5, that means the whole network is connected as a fair connection. David has the highest centralization index. It show that David is the most influential person in the network.
If the 5 students are to be coordinated, David would be suitable for assigning a post of Captain. On the other side, Eva is only connected to David and she can only obtain information from him. Therefore, a new connection is to be suggested to Eva to Alice/Bob/Carol. Then all of the centrality index would be increased.
