Estimating Betweenness Centrality on Optical Telecommunications Networks

From a set of real optical telecommunication network topologies, an expression is proposed to estimate the betweenness centrality of a network without prior knowledge of its topological structure, having only the number of nodes and links as requirement. Betweenness centrality shows the number of times each node is present in the shortest paths between other nodes. This information is relevant when planning networks, as the topology can have a significant impact on its costs. In this context, the analytical models can be used in evaluation tools as elimination criterion and to forecast costs, accelerating decision making. Experimental results reveal that the proposed expression obtain the value of the betweenness centrality with an average error less than 3%.