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Closeness centrality was calculated according to Sabidussi's formulation [ 41].
The degree centrality was calculated by Formula (5).
Degree centrality was calculated as the fraction of other nodes each ORF was connected to.
Analysis of betweenness centrality was calculated with igraph library in R comparing the core and global networks.
This is the reason why we choose betweenness centrality.> -wrap-foot>> -wrap-fooTheThe correlation between the different measures of node centrality was calculated for each network.
Once centrality was calculated for all first year students in the "friendship", "giving information" and "getting information" networks, regression analyses using STATA (StataCorp 2010) were used to detect if centrality within the social network increased students' performance.
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For each subject, network metrics including clustering coefficient, path length, small-world coefficient, efficiency and node betweenness centrality were calculated.
Then, the Betweenness Centrality is calculated as.
Two measures of centrality were calculated for each actor.
For a node i, the degree centrality is calculated as C d(i) = deg(i).
For sequence-based analysis, a third statistical measure of motif centrality is calculated.
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