Localized Bridging Centrality

Localized bridging centrality (Nanda and Kotz 2012) is the product of a node's betweenness \(B^{ego}_i\) in its one-hop ego network and its bridging coefficient, the reciprocal of its degree divided by the sum of the reciprocal degrees of its neighbors: $$LBC_i = B^{ego}_i \, \frac{1/d_i}{\sum_{j \in N(i)} 1/d_j}.$$

Usage

centrality_localized_bridging(x, ...)

Arguments

x

Network input accepted by centrality.

...

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

The measure is computed on the simple undirected skeleton of the network, so direction, weights, loops and parallel edges are ignored. Degrees are taken from the whole network. Ego betweenness counts unordered pairs of the other ego-network nodes, excludes endpoints and is not normalized. Isolated nodes, leaves and every node of a complete graph score zero.

References

Nanda, S. and Kotz, D. (2012). Localized Bridging Centrality. In Handbook of Optimization in Complex Networks, pp. 197-224. doi:10.1007/978-1-4614-0857-4_7 .

See also

centrality_extended_local_bridging, centrality_local_bridging, centrality_ego_betweenness, centrality.

Examples

centrality_localized_bridging(regulation_net)
#>    Explore       Plan    Monitor      Adapt    Reflect    Discuss Synthesize 
#>  0.5714286  0.6228611  0.4320988  1.0479042  1.3093525  0.8888889  0.5545775 
#>   Evaluate     Create      Share 
#>  0.5932203  0.5257511  0.3954802