The sheer number of different centrality indices introduced in the literature, or even only the ones in Chapter 3, is daunting. Frequently, a new definition is motivated by the previous ones failing to capture the notion of centrality of a vertex in a new application. In this chapter we will discuss the connections, similarities and differences of centralities. The goal of this chapter is to present an overview of such connections, thus providing some kind of map of the existing centrality indices. For that we focus on formal descriptions that hold for all networks. However, this approach has its limits.
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