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X Demographics
Mendeley readers
Attention Score in Context
| Title |
Divisibility patterns of natural numbers on a complex network
|
|---|---|
| Published in |
Scientific Reports, September 2015
|
| DOI | 10.1038/srep14280 |
| Pubmed ID | |
| Authors |
Snehal M. Shekatkar, Chandrasheel Bhagwat, G. Ambika |
| Abstract |
Investigation of divisibility properties of natural numbers is one of the most important themes in the theory of numbers. Various tools have been developed over the centuries to discover and study the various patterns in the sequence of natural numbers in the context of divisibility. In the present paper, we study the divisibility of natural numbers using the framework of a growing complex network. In particular, using tools from the field of statistical inference, we show that the network is scale-free but has a non-stationary degree distribution. Along with this, we report a new kind of similarity pattern for the local clustering, which we call "stretching similarity", in this network. We also show that the various characteristics like average degree, global clustering coefficient and assortativity coefficient of the network vary smoothly with the size of the network. Using analytical arguments we estimate the asymptotic behavior of global clustering and average degree which is validated using numerical analysis. |
X Demographics
The data shown below were collected from the profiles of 8 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 | 5 | 63% |
| United Kingdom | 1 | 13% |
| Unknown | 2 | 25% |
Demographic breakdown
| Type | Count | As % |
|---|---|---|
| Scientists | 5 | 63% |
| Members of the public | 3 | 38% |
Mendeley readers
The data shown below were compiled from readership statistics for 19 Mendeley readers of this research output. Click here to see the associated Mendeley record.
Geographical breakdown
| Country | Count | As % |
|---|---|---|
| Italy | 1 | 5% |
| Vietnam | 1 | 5% |
| Brazil | 1 | 5% |
| India | 1 | 5% |
| Taiwan | 1 | 5% |
| Unknown | 14 | 74% |
Demographic breakdown
| Readers by professional status | Count | As % |
|---|---|---|
| Student > Ph. D. Student | 4 | 21% |
| Researcher | 4 | 21% |
| Professor | 3 | 16% |
| Student > Bachelor | 2 | 11% |
| Student > Master | 2 | 11% |
| Other | 4 | 21% |
| Readers by discipline | Count | As % |
|---|---|---|
| Physics and Astronomy | 5 | 26% |
| Computer Science | 3 | 16% |
| Mathematics | 2 | 11% |
| Agricultural and Biological Sciences | 2 | 11% |
| Medicine and Dentistry | 2 | 11% |
| Other | 2 | 11% |
| Unknown | 3 | 16% |
Attention Score in Context
This research output has an Altmetric Attention Score of 4. 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 03 December 2015.
All research outputs
#7,165,451
of 23,852,579 outputs
Outputs from Scientific Reports
#48,115
of 128,767 outputs
Outputs of similar age
#75,117
of 246,966 outputs
Outputs of similar age from Scientific Reports
#754
of 2,135 outputs
Altmetric has tracked 23,852,579 research outputs across all sources so far. This one has received more attention than most of these and is in the 69th percentile.
So far Altmetric has tracked 128,767 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 18.5. This one has gotten more attention than average, scoring higher than 62% 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 246,966 tracked outputs that were published within six weeks on either side of this one in any source. This one has gotten more attention than average, scoring higher than 69% of its contemporaries.
We're also able to compare this research output to 2,135 others from the same source and published within six weeks on either side of this one. This one has gotten more attention than average, scoring higher than 64% of its contemporaries.