Localized bridging centrality (LBC) is a variant of bridging centrality that combines a node's local brokerage and connectivity features [2]. It is defined as the product of the egocentric betweenness centrality \(c_{\mathrm{ego}}(i)\) and the bridging coefficient \(β_c(i)\):
\begin{equation*}
c_{\mathrm{LBC}}(i) = c_{\mathrm{ego}}(i) \cdot β_c(i),
\end{equation*}
where \(c_{\mathrm{ego}}(i)\) is the egocentric betweenness centrality of node \(i\), which is computed as the betweenness of node \(i\) in its egocentric network [3].
The LBC measure identifies nodes that serve as local brokers within their immediate neighborhood while also connecting to high-degree neighbors.

References

[1] Shvydun, S. (2025). Zoo of Centralities: Encyclopedia of Node Metrics in Complex Networks. arXiv: 2511.05122 https://doi.org/10.48550/arXiv.2511.05122
[2] Nanda, S., & Kotz, D. (2008). Localized bridging centrality for distributed network analysis. In 2008 proceedings of 17th international conference on computer communications and networks (pp. 1-6). IEEE. doi: 10.1109/ICCCN.2008.ECP.31.
[3] Freeman, L. C. (1982). Centered graphs and the construction of ego networks. Mathematical Social Sciences 3, 291-304. doi: 10.1016/0165-4896(82)90076-2.