Besides the graph
The social network can be described as sociomatrix
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|
Bob
|
Carol
|
David
|
Eva
|
|
-
|
1
|
1
|
1
|
0
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Bob
|
1
|
-
|
0
|
1
|
0
|
Carol
|
1
|
0
|
-
|
1
|
0
|
David
|
1
|
1
|
1
|
-
|
1
|
Eva
|
0
|
0
|
0
|
1
|
-
|
From first view I think David is the most influential because he is the only one who connects to all other students. Then I use Betweenness Centrality to solve the problem. Because Betweenness Centrality is a measure of the potential for control as an actor who is high in “betweenness” is able to act as a gatekeeper controlling the flow of resources between the alters that he or she connects. On the other hand, the answer is too simple and obvious if we use Degree Centrality, and closeness is not so significant as betweenness in this case if we use Closeness Centrality. So to judge with Betweenness Centrality is the most appropriate in my mind.
According to the formula
I obtain the result
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Betweeness
Centrality
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0.8
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Bob
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0
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Carol
|
0
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David
|
0.58
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Eva
|
0
|
And it proves that my previous guess is right. David is the most influential due to his most connections and his significant place to act as gatekeeper.
I think you should also consider the degree centrality and closeness centrality as well.
回复删除Well, thanks for your advice. Though the betweenness centrality is more important in this case, the conclusion would be more convincing if adding the other two centrality.
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