Analysis of co-authorship network based on some betweenness centrality concepts

Reliant components of a network are the connector nodes which aid in establishing a strongly connected network. Betweenness centrality of a node well captures its connecting capability. We suggest some new betweenness centrality measures which could be useful in analysing the structural connectivity of a network. In this paper we study the behaviour of collaboration in a co-authorship network, namely the NetScience network, from the perspective of these measures. We analyse the network from a micro perspective, where we consider small groups of scientists doing research in a common subdiscipline. We show that each group is formed by the influence of only one or two highly collaborating authors. Another speculation was that even though these authors are highly influential in smaller groups they do not possess notable contribution to the overall research of main discipline.