A Set of Measures of Centrality Based on Betweenness
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TL;DR
A family of new measures of point and graph centrality based on early intuitions of Bavelas (1948) is introduced, used to index centrality in any large or small network of symmetrical relations, whether connected or unconnected.
Abstract
A family of new measures of point and graph centrality based on early intuitions of Bavelas (1948) is introduced. These measures define centrality in terms of the degree to which a point falls on the shortest path between others and there fore has a potential for control of communication. They may be used to index centrality in any large or small network of symmetrical relations, whether connected or unconnected.