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Local bridging centrality multiplies the bridging coefficient of a node by its inverse degree: $$LB(v) = \frac{1}{k_v} \cdot \frac{1/k_v}{\sum_{u \in N(v)} 1/k_u}.$$ A node of low degree whose neighbors have high degree scores high.

Usage

centrality_local_bridging(x, ...)

Arguments

x

Network input accepted by centrality.

...

Further arguments to centrality.

Value

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

Details

Edge weights are ignored. On a directed network \(k\) is the total degree, in plus out, and a reciprocated tie counts twice. An isolated node scores 0. The local bridging centrality of Nanda and Kotz, the product of ego betweenness and the bridging coefficient, is centrality_localized_bridging.

Examples

centrality_local_bridging(regulation_net)
#>    Explore       Plan    Monitor      Adapt    Reflect    Discuss Synthesize 
#> 0.02751572 0.01631100 0.01133420 0.02506266 0.02506266 0.05090909 0.10396040 
#>   Evaluate     Create      Share 
#> 0.05376000 0.01812141 0.03131991