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Global decomposition of networks into multiple cores formed by local hubs

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Author(s)
Jeong, Wonhee; Yu, Unjong; Lee, Sang Hoon
Type
Article
Citation
Physical Review e, v.111, no.5, pp.054302
Issued Date
2025-05
Abstract
Networks are ubiquitous in various fields, representing systems where nodes and their interconnections constitute their intricate structures. We introduce a network decomposition scheme to reveal multiscale core-periphery structures lurking inside, using the concept of locally defined nodal hub centrality and edge-pruning techniques built upon it. We demonstrate that the hub-centrality-based edge pruning reveals a series of breaking points in network decomposition, which effectively separates a network into its backbone and shell structures. Our local-edge decomposition method iteratively identifies and removes locally least connected nodes, and uncovers an onionlike hierarchical structure as a result. Compared with the conventional k-core decomposition method, our method based on relative information residing in local structures exhibits a clear advantage in terms of discovering locally crucial substructures. As an application of the method, we present a scheme to detect multiple core-periphery structures and the decomposition of coarse-grained supernode networks, by combining the method with the network community detection.
Publisher
AMER PHYSICAL SOC
ISSN
2470-0045
DOI
10.1103/physreve.111.054302
URI
https://scholar.gist.ac.kr/handle/local/18722
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