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Network parameters that take into account paths between all possible pairs of nodes such as betweenness and closeness did not appear to be significantly associated with the presence of disease.
Contrarily, the weighted formulation of closeness takes into account paths whose lengths are not the sum of the minimum number of hops from a node to all other nodes, but the sum of the inverse weights over the edges of the shortest paths from a node to all other nodes.
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Accordingly, we use a complete channel model capable of taking into account path loss, shadow fading, and fast fading.
Using CLCFM approach, we take into account path-loss and fast fading to express the SIR of a mobile located at a given distance of its serving BS.
With perfect CSI, the complex channel gains (h^{k}_{ij}) take into account path loss, log-normal shadowing, and Rayleigh fading.
Each method allows to establish a simple and easily computable outage probability formula, which jointly takes into account path-loss, shadowing and fast fading.
Using FWBM approach, we take into account path-loss and shadowing to first express the inverse of the SIR of a mobile located at a given distance of its serving BS as a log-normal random variable.
As a consequence, the outage probability for a mobile located at a distance r from its serving BS, taking into account path-loss, shadowing and fast fading can be written as: ℙ = ∫ 0 ∞ Q 1 0 log 1 0 ( x δ ) - m f s f e - x d x. (11).
Mediation was tested using the guidelines provided by MacKinnon and Dwyer (1993) and MacKinnon, Fairchild, and Fritz (2007): we tested the effects of the independent variable to the mediator (path α) and the effect of the mediator to the dependent variable when the independent variable was taken into account (path β).
As discussed in Methods, personalized PageRank takes into account all paths between two nodes in a graph (with more weight given to shorter paths), by considering an arbitrarily long random walk from the starting vertex.
When multiple routes are available, it determines their load shares as a function of a composite metric that takes into account the paths' length and load.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com