Leaders and Negotiators: An Influence-based Metric for Rank

Abstract

We propose influence as a measure of the centrality of nodes in a network. Influence takes into account not only direct links but also all paths between nodes. We parametrize the influence metric by a variable a that measures the strength of links. Variations in rankings as a changes provides a mechanism to identify the central nodes within communities (leaders), as well as nodes that act as bridges between communities (negotiators).