2 research outputs found
How to choose the most appropriate centrality measure?
We propose a new method to select the most appropriate network centrality
measure based on the user's opinion on how such a measure should work on a set
of simple graphs. The method consists in: (1) forming a set of
candidate measures; (2) generating a sequence of sufficiently simple graphs
that distinguish all measures in on some pairs of nodes; (3) compiling
a survey with questions on comparing the centrality of test nodes; (4)
completing this survey, which provides a centrality measure consistent with all
user responses. The developed algorithms make it possible to implement this
approach for any finite set of measures. This paper presents its
realization for a set of 40 centrality measures. The proposed method called
culling can be used for rapid analysis or combined with a normative approach by
compiling a survey on the subset of measures that satisfy certain normative
conditions (axioms). In the present study, the latter was done for the subsets
determined by the Self-consistency or Bridge axioms.Comment: 26 pages, 1 table, 1 algorithm, 8 figure