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How does the PageRank?


The PageRank value we observe is a value between 0 and 10. But in reality, the PageRank is a numeric value much higher, calculated on the basis of receiving our pages links.

The actual value typically of the order of thousands. However, Google takes its logarithmic value to make it visible to users. The basis of this logarithm is unknown.

For example, to a base 7, would have the following values:

PR Value PR Real
0 0 - 3
1 3 - 19
2 19 - 130
3 130 - 907
4 907 - 6351
5 6351 - 44458
6 44458 - 311209
7 311209 - 2178466
8 2178466 - 15249262
9 15249262 - 106765607
10 > 106765607

If a page has a PageRank-real-500000 for example, what value would transmit it to another which links?.

The answer to this question is answered in the famous text of Sergey Brin and Larry Page (founders of Google), called ' The Anatomy of a Large-Scale Hypertextual Web Search Engine '.

In him posed the following formulates to calculate the PageRank of a website called 'A':

PR(A) = (1-d) + d * [ PR(T1)/C(T1) + ... + PR(Tn)/C(Tn) ]

- 'd' is the attenuation factor. A value could be 0.85
- 'Ti' is every page that links to 'A'. 'i' takes the values 1, 2, ... to 'N'. 'N' is the number of pages that link to 'A'.
- 'PR(Ti)' is the PageRank of each of the pages that link to 'A'.
- 'C(Ti)' is the number of links that come from every page 'Ti'.

Therefore, our PageRank 500000 forwarded to another in case of a single link, a value of 0.85 * 500,000 = 425,000. Generally most of the pages have a link in them, so this value would be divided by the number of links.

As you can see, the value of PageRank of each page is not constant over time, as it depends on the links that we receive and, in turn, the PR of the pages that we link.

Therefore, once a month or so, Google recalculates PageRank value of this in what comes to be called the ' Google Dance '.



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