New centrality measure for symmetric networks: g-core and local g-core

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Check this newly published article "Identifying Vital Nodes by Local g-Core on Symmetric Networks" at https://brnw.ch/21wWt9x Authors: Letian Wang The H-index is a widely recognized centrality measure for nodes in symmetric networks, defined as the maximum number of neighbors with degrees equal to or greater than the node’s own degree. However, this metric underestimates the structural influence of “weak nodes”—low-degree nodes connected to high-degree hubs—that often serve as critical connectors in network topology. To address this limitation, we propose the 𝐻𝛼-index, which generalizes the H-index by considering the maximum number of neighbors with degrees at least 𝛼 times the node’s degree, where 𝛼≥1. Based on this refinement, we introduce two novel centrality measures: the g-core and the local g-core, which were derived from iterative applications of the 𝐻𝛼-index to a node’s neighbors... 山东大学 #mdpisymmetry #complexnetworks

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