Modified Expected Force Centrality

The modified Expected Force (Lawyer 2015, equation 2) multiplies the Expected Force of a node by the logarithm of its scaled degree $\alpha d_i$: $$ExF^{\alpha}_i = \log(\alpha d_i) \, ExF_i.$$

Usage

centrality_modified_expected_force(x, exf_alpha = 2, ...)

Arguments

x: Network input accepted by centrality.
exf_alpha: Degree scaling factor $\alpha$, a finite number greater than one. Default 2, as in the paper.
...: Further arguments to centrality, such as normalized (divide by the maximum, default FALSE).

Value

A named numeric vector with one score per node, in input node order.

Details

On a directed network $d_i$ is the out-degree, in line with the outgoing transmission process. An isolated node scores zero. The input handling and zero conventions of centrality_expected_force apply. An exf_alpha that is not a finite number greater than one raises an error.

References

Lawyer, G. (2015). Understanding the influence of all nodes in a network. Scientific Reports, 5, 8665. doi:10.1038/srep08665 .

Examples

centrality_modified_expected_force(regulation_net)
#>    Explore       Plan    Monitor      Adapt    Reflect    Discuss Synthesize 
#>   2.435907   8.103802   2.877173   4.687413   2.196127   4.630090   4.769520 
#>   Evaluate     Create      Share 
#>   4.560098   6.291283   4.818151