Lobby Index

The lobby index (Korn et al. 2009) is the h-index of the degrees in the closed neighborhood of a node. It is the largest \(k\) such that the node and its neighbors include at least \(k\) nodes of degree \(k\) or more.

Usage

centrality_lobby(x, mode = "all", ...)

Arguments

x: Network input accepted by centrality.
mode: Direction for directed networks: "all" (default), "out" or "in".
...: Further arguments to centrality.

Value

A named integer vector with one index per node, in input node order.

Details

Edge weights are ignored. mode selects both the degree and the neighbors, and with mode = "all" on a directed network the degree is in plus out. An isolated node scores 0. On undirected networks the values equal centiserve::lobby().

References

Korn, A., Schubert, A., & Telcs, A. (2009). Lobby index in networks. Physica A, 388(11), 2221-2226. doi:10.1016/j.physa.2009.02.013 .

Examples

centrality_lobby(regulation_net)
#>    Explore       Plan    Monitor      Adapt    Reflect    Discuss Synthesize 
#>          6          5          6          5          5          5          4 
#>   Evaluate     Create      Share 
#>          5          6          6