Hierarchical route to the emergence of leader nodes in real-world networks Article Swipe
Joseph D. O’Brien
,
Kleber A. Oliveira
,
James P. Gleeson
,
Malbor Asllani
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevresearch.3.023117
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevresearch.3.023117
A large number of complex systems, naturally emerging in various domains, are well described by directed networks, resulting in numerous interesting features that are absent from their undirected counterparts. Among these properties is a strong non-normality, inherited by a strong asymmetry that characterizes such systems and guides their underlying hierarchy. In this work, we consider an extensive collection of empirical networks and analyze their structural properties using information-theoretic tools. A ubiquitous feature is observed amongst such systems as the level of non-normality increases. When the non-normality reaches a given threshold, highly directed substructures aiming towards terminal (sink or source) nodes, denoted here as leaders, spontaneously emerge. Furthermore, the relative number of leader nodes describe the level of anarchy that characterizes the networked systems. Based on the structural analysis, we develop a null model to capture features such as the aforementioned transition in the networks' ensemble. We also demonstrate that the role of leader nodes at the pinnacle of the hierarchy is crucial in driving dynamical processes in these systems. This work paves the way for a deeper understanding of the architecture of empirical complex systems and the processes taking place on them.
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Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevresearch.3.023117
- http://link.aps.org/pdf/10.1103/PhysRevResearch.3.023117
- OA Status
- gold
- Cited By
- 14
- References
- 105
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3107948864
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W3107948864Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevresearch.3.023117Digital Object Identifier
- Title
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Hierarchical route to the emergence of leader nodes in real-world networksWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
-
2021-05-14Full publication date if available
- Authors
-
Joseph D. O’Brien, Kleber A. Oliveira, James P. Gleeson, Malbor AsllaniList of authors in order
- Landing page
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https://doi.org/10.1103/physrevresearch.3.023117Publisher landing page
- PDF URL
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https://link.aps.org/pdf/10.1103/PhysRevResearch.3.023117Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://link.aps.org/pdf/10.1103/PhysRevResearch.3.023117Direct OA link when available
- Concepts
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Hierarchy, Normality, Pinnacle, Computer science, Complex network, Distributed computing, Theoretical computer science, Mathematics, Political science, World Wide Web, Statistics, Law, Medicine, Radiation therapy, Internal medicine, Radiation treatment planningTop concepts (fields/topics) attached by OpenAlex
- Cited by
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14Total citation count in OpenAlex
- Citations by year (recent)
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2025: 3, 2024: 5, 2023: 4, 2022: 2Per-year citation counts (last 5 years)
- References (count)
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105Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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