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The degree of a node is a measure of its connectivity (number of connections); eigenvector centrality incorporates both direct and indirect connectivity (how connected a node's immediate connections are); and betweenness is a measure of the bottleneck a particular node forms in the network.
Figure 18 (a) Connectivity (number of connected nodes) versus throughput of individual PANs and (b) connectivity (number of connected nodes) versus overall throughput of all collaborating networks.
Figure 17 Connectivity (number of connected nodes) versus throughput of a single network.
As expected, given the lack of the scale-free topology in our networks, local degree (k) provided little predictive power for identifying key regulators (W k = 0); however considering specific subsets of these connections (e.g., global connectivity, number of predicted targets) did assist in discriminating the reference gene set.
In contrast, the average pathway connectivity (number of pathways a pathway is connected to) decreases from prokarya to eukarya: bacteria species have denser NIPs than both archaea and eukarya species as shown by the total adjacency, average node degree, and connectedness (or density).
Despite several attempts over the last 10 years to determine the connectivity number, this is still an open question.
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In 1996, Bertrand and Couprie [11] introduced connectivity numbers for grayscale image.
Let X ⊂ E and x ∈ E, two connectivity numbers defined as follows (#X = cardinality of X): T ( x, X ) = # C n x, Γ 8 * x ∩ X ; T ¯ ( x, X ) = # C n ¯ x, Γ 8 * x ∩ X ¯.
Connected component represents the similarities of each node in the phenotypes network, and it means that nodes with consistent connectivity numbers are in the same network.
Fuzzy structure generation was initiated assuming only that the number of nonstandard connectivities numbered no more than 15.
We inspected the distribution of the local connectivity, centrality, number of interacting pathogens, and number of pathogen groups for the host proteins in the interaction grouping.
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