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The HSR lines also increased the average centrality of the city network and the inequality of nodal centrality according to the WCC indicator, but they decreased the inequality of nodal centrality with regard to the WDC and WBC indicators.
The second filtering constraint tests whether the average of centrality values of a node and its immediate neighbors (LAC) is greater than the average centrality of the all the nodes in the network.
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As mentioned earlier, the second filtering constraint is the average centralities of all the nodes in the network.
Our algorithm computes the Katz centrality and Local average centrality values of each node and tests the values against two threshold (constraints) values.
The average centrality values of a node and its neighbors is denoted as (LAC_{Katz}) (local average centrality) and the average centrality value for the entire network is denoted as (GAC_{Katz}) (global average centrality).
We further examined network betweenness centrality (using Brandes' algorithm [75] in R [76] using the RBGL package [77], [78]) as well as the average betweenness centrality of the top 10 genes and microRNAs by degree, and the average shortest path length between the top 10 genes.
The average betweenness centrality of companies in the Twin Cities startup level is 0.00001.
The density value is 0.00216, with an average betweenness centrality of 0.0001.
We designed a model that calculated the average Katz centrality of all the communities rather than following the standard approach using group centrality measures.
This paper present a technique to identify the top-K communities, based on the average Katz centrality of all the communities in a network of communities and the distinctive nature of the communities.
Thus, it is not a simple average of centrality of individuals, but rather a derived characteristic of a group.
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