Sentence examples for definition of centrality from inspiring English sources

In Figure 1 we depicted a hypothetical network to illustrate the definition of centrality indices.

In other contexts this definition of centrality has proved valuable in analysing the importance of individuals within social networks by measuring the importance of their acquaintances, as well as in determining the importance of websites in page rank algorithms i.e. by calculating how many high profile websites link back to a given site.

Note that our definition of closeness centrality uses the lengths of all outgoing shortest paths starting from a central vertex; other definitions of closeness centrality are possible based on the lengths of incoming shortest paths ("in-closeness centrality"), or all distances.

With our multi-centrality approach, the identified network hubs exhibit high centrality at the local, intermediate and global level, thus moving beyond a simple degree-based definition of protein centrality.

The definition of betweenness centrality in the previous works is made only for finite graphs.

In this article, we extend the standard definition of betweenness centrality using Semivalues a family of solution concepts from cooperative game theory that includes, among others, the Shapley value and the Banzhaf power index.

Motivated by the definition of betweenness centrality in network science, we introduce the notion of traffic-aware betweenness (TAB) for data networks, where usually an explicit (or implicit) traffic matrix governs the distribution of external traffic into the network.

Freeman [30] also cited the definition of betweenness centrality expressed by Shimbel [44] in 1953: "Suppose that in order for site i to contact site j, site k must be used as an intermediate station.

The data also allowed us to refine our definition of the indicators "centrality" (central leadership) and "local leadership".

Table 1 Definition of 'levels of centrality' Level of centrality Description 1 Community without centrality, no basic function and no local supply available 2 Community without centrality, no basic function but local supply available 3 Small centre 4 Regional centre (e.g. main municipality of a county) 5 Supra-regional centre (e.g. main municipality of a federal state).

Then, in 'Periodic Betweenness Centrality' subsection, we will give a definition of the betweenness centrality for the periodic graphs.