| Title |
Easily Repairable Networks: Reconnecting Nodes after Damage
|
|---|---|
| Published in |
Physical Review Letters, September 2014
|
| DOI | 10.1103/physrevlett.113.138701 |
| Pubmed ID | |
| Authors |
Robert S. Farr, John L. Harer, Thomas M. A. Fink |
| Abstract |
We introduce a simple class of distribution networks that withstand damage by being repairable instead of redundant. Instead of asking how hard it is to disconnect nodes through damage, we ask how easy it is to reconnect nodes after damage. We prove that optimal networks on regular lattices have an expected cost of reconnection proportional to the lattice length, and that such networks have exactly three levels of structural hierarchy. We extend our results to networks subject to repeated attacks, in which the repairs themselves must be repairable. We find that, in exchange for a modest increase in repair cost, such networks are able to withstand any number of attacks. |
X Demographics
The data shown below were collected from the profiles of 10 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 States | 2 | 20% |
| France | 1 | 10% |
| Finland | 1 | 10% |
| United Kingdom | 1 | 10% |
| Greece | 1 | 10% |
| Unknown | 4 | 40% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Members of the public | 6 | 60% |
| Scientists | 3 | 30% |
| Science communicators (journalists, bloggers, editors) | 1 | 10% |
Mendeley readers
The data shown below were compiled from readership statistics for 68 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| United States | 3 | 4% |
| United Kingdom | 2 | 3% |
| Germany | 1 | 1% |
| Brazil | 1 | 1% |
| Netherlands | 1 | 1% |
| Italy | 1 | 1% |
| Israel | 1 | 1% |
| Unknown | 58 | 85% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Researcher | 18 | 26% |
| Student > Ph. D. Student | 17 | 25% |
| Professor | 7 | 10% |
| Student > Master | 7 | 10% |
| Professor > Associate Professor | 5 | 7% |
| Other | 9 | 13% |
| Unknown | 5 | 7% |
| Readers by discipline | Count | As % |
|---|---|---|
| Physics and Astronomy | 23 | 34% |
| Engineering | 10 | 15% |
| Agricultural and Biological Sciences | 6 | 9% |
| Computer Science | 5 | 7% |
| Mathematics | 4 | 6% |
| Other | 10 | 15% |
| Unknown | 10 | 15% |
Attention Score in Context
This research output has an Altmetric Attention Score of 34. 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 05 October 2014.
All research outputs
#1,021,727
of 23,122,481 outputs
Outputs from Physical Review Letters
#3,292
of 35,935 outputs
Outputs of similar age
#11,780
of 253,202 outputs
Outputs of similar age from Physical Review Letters
#60
of 562 outputs
Altmetric has tracked 23,122,481 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 95th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 35,935 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 13.9. This one has done particularly well, scoring higher than 90% 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 253,202 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 95% of its contemporaries.
We're also able to compare this research output to 562 others from the same source and published within six weeks on either side of this one. This one has done well, scoring higher than 89% of its contemporaries.