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

Overview of attention for article published in Nature Communications, January 2016
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About this Attention Score

  • In the top 25% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (87th percentile)
  • Average Attention Score compared to outputs of the same age and source

Mentioned by

twitter
21 tweeters

Citations

dimensions_citation
298 Dimensions

Readers on

mendeley
235 Mendeley
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Title
The H-index of a network node and its relation to degree and coreness
Published in
Nature Communications, January 2016
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.

Twitter Demographics

The data shown below were collected from the profiles of 21 tweeters who shared this research output. Click here to find out more about how the information was compiled.

Mendeley readers

The data shown below were compiled from readership statistics for 235 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Spain 2 <1%
Sweden 1 <1%
Brazil 1 <1%
Unknown 231 98%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 69 29%
Student > Master 31 13%
Researcher 29 12%
Professor > Associate Professor 14 6%
Student > Postgraduate 13 6%
Other 39 17%
Unknown 40 17%
Readers by discipline Count As %
Computer Science 58 25%
Physics and Astronomy 19 8%
Mathematics 17 7%
Engineering 16 7%
Agricultural and Biological Sciences 14 6%
Other 50 21%
Unknown 61 26%

Attention Score in Context

This research output has an Altmetric Attention Score of 12. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 18 July 2016.
All research outputs
#2,235,025
of 19,887,219 outputs
Outputs from Nature Communications
#22,002
of 39,270 outputs
Outputs of similar age
#48,152
of 393,691 outputs
Outputs of similar age from Nature Communications
#393
of 764 outputs
Altmetric has tracked 19,887,219 research outputs across all sources so far. Compared to these this one has done well and is in the 88th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 39,270 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 54.0. This one is in the 43rd percentile – i.e., 43% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 393,691 tracked outputs that were published within six weeks on either side of this one in any source. This one has done well, scoring higher than 87% of its contemporaries.
We're also able to compare this research output to 764 others from the same source and published within six weeks on either side of this one. This one is in the 48th percentile – i.e., 48% of its contemporaries scored the same or lower than it.