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This analysis highlighted how some centrality indices provide redundant information (e.g., the ranking estimated with degree and betweenness was overlapping for more than 92% of the proteins; see the row- B, column- D in Table 1).
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The user can select the more/equal option for some centralities, the less/equal option for others and can join them with AND-OR operators.
In this paper, we propose some new centrality measure called fuzzy in-degree centrality, fuzzy out-degree centrality, fuzzy in-closeness centrality and fuzzy out-closeness centrality which are applicable to the DFSNs.
Based on the set of shortest path in a graph, some other centrality indices are worth being mentioned: stress centrality, that is based on the enumeration of shortest paths; shortest-path betweenness centrality is a kind of stress centrality that accounts for the fraction of shortest paths between two nodes that contain a third node.
Plug-ins such as NetworkAnalyzer (Assenov et al., 2008) computes some node centralities but does not allow direct integration with experimental data.
Some of the centrality measures applied in network analysis have their equivalent in linkage measures found in input output literature such as direct linkages and strength measures.
A hierarchical organization of nodes according to some authority or centrality measure allows to visualize the graph at different levels of details, eliminating the need to display all nodes and edges at once [60].
A clear behavioural pattern that explains the relationship between companies of the PCiTAL was not detected, although there are some patterns of centrality that bring UdL and the longest-standing companies in the park performing radical innovation together in the centre of the network.
The erosion of traditional values concerned some, though the centrality of ' sướng' – happiness or contentedness – to their lives, reflected the persistence of deeper values.
"His life cycle is slightly ahead of his generation, so he can see ahead to the centrality of some of these issues," Ms. Kamark said.
From the view of complex network theory, since some nodes have great centrality, then the contents are preferred to be cached in those nodes with great centrality so that the hit rate for the contents is high.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com