Title |
The H-index of a network node and its relation to degree and coreness
|
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Published in |
Nature Communications, January 2016
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DOI | 10.1038/ncomms10168 |
Pubmed ID | |
Authors |
Linyuan Lü, Tao Zhou, Qian-Ming Zhang, H. Eugene Stanley |
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 , 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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Japan | 2 | 10% |
France | 2 | 10% |
Ecuador | 1 | 5% |
United Kingdom | 1 | 5% |
India | 1 | 5% |
Norway | 1 | 5% |
Ireland | 1 | 5% |
Unknown | 5 | 24% |
Demographic breakdown
Type | Count | As % |
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Scientists | 10 | 48% |
Members of the public | 10 | 48% |
Science communicators (journalists, bloggers, editors) | 1 | 5% |
Mendeley readers
Geographical breakdown
Country | Count | As % |
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Spain | 2 | <1% |
Sweden | 1 | <1% |
Brazil | 1 | <1% |
Unknown | 273 | 99% |
Demographic breakdown
Readers by professional status | Count | As % |
---|---|---|
Student > Ph. D. Student | 74 | 27% |
Student > Master | 35 | 13% |
Researcher | 32 | 12% |
Student > Postgraduate | 15 | 5% |
Professor > Associate Professor | 14 | 5% |
Other | 46 | 17% |
Unknown | 61 | 22% |
Readers by discipline | Count | As % |
---|---|---|
Computer Science | 66 | 24% |
Physics and Astronomy | 23 | 8% |
Engineering | 21 | 8% |
Mathematics | 17 | 6% |
Agricultural and Biological Sciences | 14 | 5% |
Other | 55 | 20% |
Unknown | 81 | 29% |