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The H-index of a network node and its relation to degree and coreness

Open access
Lü, Linyuan, Zhou, Tao, Zhang, Qian-Ming, Stanley, H. Eugene·2016·Nature Communications

Abstract

Identifying influential nodes in dynamical processes is crucial in understanding network structure and function. Degree, H-index and coreness are widely used metrics, but previously treated as unrelated. Here we show their relation by constructing an operator "Equation missing", in terms of which degree, H-index and coreness are the initial, intermediate and steady states of the sequences, respectively. We obtain a family of H-indices that can be used to measure a node’s importance. We also prove that the convergence to coreness can be guaranteed even under an asynchronous updating process, allowing a decentralized local method of calculating a node’s coreness in large-scale evolving networks. Numerical analyses of the susceptible-infected-removed spreading dynamics on disparate real networks suggest that the H-index is a good tradeoff that in many cases can better quantify node influence than either degree or coreness.

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Metadata

Authors
Lü, L., Zhou, T., Zhang, Q.-M., & Stanley, H. E.
Venue
Nature Communications
Published
2016-01-12
Volume
7
Issue
1
Pages
10168-10168
ISSN
2041-1723 (ISSN-L)
OpenAlex
W2261717057
Cited by
690
References
7
FWCI
36.50
Type
journal article
Language
en
Open access
gold

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CoChat. (2026). Citation check: The H-index of a network node and its relation to degree and coreness. https://app.cochat.ai/papers/10.1038/ncomms10168
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Lü, L., Zhou, T., Zhang, Q.-M., & Stanley, H. E. (2016). The H-index of a network node and its relation to degree and coreness. Nature Communications. https://doi.org/10.1038/ncomms10168

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