Betweenness values of all nodes in the graph. Betweenness value of the graph G calculated by averaging the S.-P. Also here, high and low values are more meaningful when compared to the average S.-P. Betweenness to node couples, thus quantifying the importance of a node for two connected nodes. Further information could be gained by referring the S.-P. Betweenness can be used to gain complementary information. Notably, to know the number of paths for which the node is critical it is necessary to look at the stress. Betweenness score means that the node, for certain paths, is crucial to maintain node connections. Thus, a node can be traversed by only one path linking v1 and v2, but if this path is the only connecting v1 and v2 the node n will score a higher betweenness value (in the stress computation would have had a low score). Then, the value is related to the total number of shortest paths linking v1 and v2. It is calculated considering couples of nodes (v1, v2) and counting the number of shortest paths linking v1 and v2 and passing through a node n. It is similar to the stress but provides a more elaborated and informative centrality index. Σ st is the number of shortest paths between node s and t and σ st(v) is the number of shortest paths passing on a node v out σ st
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