| Title |
Hyperbolicity measures democracy in real-world networks
|
|---|---|
| Published in |
Physical Review E: Statistical, Nonlinear, and Soft Matter Physics, September 2015
|
| DOI | 10.1103/physreve.92.032812 |
| Pubmed ID | |
| Authors |
Michele Borassi, Alessandro Chessa, Guido Caldarelli |
| Abstract |
In this work, we analyze the hyperbolicity of real-world networks, a geometric quantity that measures if a space is negatively curved. We provide two improvements in our understanding of this quantity: first of all, in our interpretation, a hyperbolic network is "aristocratic", since few elements "connect" the system, while a non-hyperbolic network has a more "democratic" structure with a larger number of crucial elements. The second contribution is the introduction of the average hyperbolicity of the neighbors of a given node. Through this definition, we outline an "influence area" for the vertices in the graph. We show that in real networks the influence area of the highest degree vertex is small in what we define "local" networks (i.e., social or peer-to-peer networks), and large in "global" networks (i.e., power grid, metabolic networks, or autonomous system networks). |
X Demographics
The data shown below were collected from the profiles of 7 X users who shared this research output. Click here to find out more about how the information was compiled.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United Kingdom | 2 | 29% |
| United States | 1 | 14% |
| Norway | 1 | 14% |
| Unknown | 3 | 43% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 4 | 57% |
| Scientists | 2 | 29% |
| Science communicators (journalists, bloggers, editors) | 1 | 14% |
Mendeley readers
The data shown below were compiled from readership statistics for 34 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Switzerland | 2 | 6% |
| United Kingdom | 1 | 3% |
| Luxembourg | 1 | 3% |
| Italy | 1 | 3% |
| Unknown | 29 | 85% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Researcher | 8 | 24% |
| Professor | 6 | 18% |
| Student > Master | 5 | 15% |
| Student > Ph. D. Student | 4 | 12% |
| Student > Bachelor | 3 | 9% |
| Other | 6 | 18% |
| Unknown | 2 | 6% |
| Readers by discipline | Count | As % |
|---|---|---|
| Computer Science | 9 | 26% |
| Physics and Astronomy | 8 | 24% |
| Mathematics | 3 | 9% |
| Medicine and Dentistry | 3 | 9% |
| Economics, Econometrics and Finance | 2 | 6% |
| Other | 3 | 9% |
| Unknown | 6 | 18% |
Attention Score in Context
This research output has an Altmetric Attention Score of 11. 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 30 April 2023.
All research outputs
#3,404,281
of 25,385,509 outputs
Outputs from Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
#895
of 20,990 outputs
Outputs of similar age
#44,260
of 286,242 outputs
Outputs of similar age from Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
#21
of 402 outputs
Altmetric has tracked 25,385,509 research outputs across all sources so far. Compared to these this one has done well and is in the 86th percentile: it's in the top 25% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 20,990 research outputs from this source. They receive a mean Attention Score of 2.9. This one has done particularly well, scoring higher than 95% of its peers.
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 286,242 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 84% of its contemporaries.
We're also able to compare this research output to 402 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 94% of its contemporaries.