Interplay Between Hierarchy and Centrality in Complex Networks
Stephany Rajeh, Marinette Savonnet, Eric Leclercq, Hocine Cherifi

TL;DR
This paper explores the relationship between hierarchy and centrality in complex networks, analyzing how different measures correlate across diverse real-world networks to understand their interplay.
Contribution
It systematically evaluates the correlation between multiple centrality and hierarchy measures across various networks, revealing the influence of network density and transitivity.
Findings
Network density affects centrality-hierarchy relationships
Transitivity influences measure correlations
Different networks show diverse measure interactions
Abstract
Hierarchy and centrality are two popular notions used to characterize the importance of entities in complex systems. Indeed, many complex systems exhibit a natural hierarchical structure, and centrality is a fundamental characteristic allowing to identify key constituents. Several measures based on various aspects of network topology have been proposed in order to quantify these concepts. While numerous studies have investigated whether centrality measures convey redundant information, how centrality and hierarchy measures are related is still an open issue. In this paper, we investigate the interaction between centrality and hierarchy using several correlation and similarity evaluation measures. A series of experiments is performed in order to evaluate the combinations of 6 centrality measures with 4 hierarchy measures across 28 diverse real-world networks with varying topological…
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