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Friday, August 5, 2011

The Secret Formula Google Pagerank

Google pagerank for many years has become a big secret in a virtual world where many people racing the race to solve the mystery. And now the big secret has been revealed to the public. Let's start with some of the following logic. 
Internet is very large, otherwise the website is very small. No wonder, if a website is very difficult to stand out and compete with the billions of websites similar to reveal itself to all accessed the Internet.

Users can only see a website when he was running a search on Google and the website is located at the top in the list of hits. Only, if there are hundreds of similar websites on the Internet, which will appear at the top or bottom of the list of hits?. 

The answer is poured into a formula PageRank algorithm. As we know, PageRank is a patented algorithm that has a function to determine which website is more important or popular. 

PageRank is one of the main features of the Google search engine and created by its founder, Larry Page and Sergey Brin.

For those of you who know, understand, and use of PageRank, it can boost website hits to the top of the list. However, the blame will be put to use them. But how the PageRank and when a website was on the list of hits?
The workings of the formula and the formula PageRank

Behind the PageRank of any thought which both simple and genius:
1. For each website there are a certain number of other websites that put a hyperlink to the website in question.
2. Each website has a PageRank.
3. Link from website B to site A is counted as a vote from B to A. As in the vote.
4. Moreover, PageRank website B weigh vote for A. The higher the PageRank site B, the better.
5. Other factors, how many links there are on site B. The fewer in number, the better for PageRank website A.
6. The sum of all PageRank equals the sum of all the documents on the Internet. Thus, PageRank is the weighting of a document on the Internet as a whole recorded.


PageRank is calculated for each site, not a bid for the entire website. Therefore, a certain article in the webserver may receive a higher PageRank than your own website.

As a formula the PageRank algorithm looks as follows:
PR (A) = (1-d) + d (PR (T1) / C (T1) + ... + PR (Tn) / C (TN))
Here's the explanation above formula: PageRank website A website is the number of T1 until Mr., each divided by the number of links on the website in question. In addition, there are silencer factor, an essential element which in turn will still play a role PAGERANK Calculations - Four website contact each other via links. Depending on the number of links that lead to a website, then on to the value of certain PageRank (PR).


The principle of PageRank can be clarified. Suppose the entire web site consists of only four A, B, C, and D. In each instance has a PageRank value of the initial "1". The amount is equal to the number of websites. In the first example of site B, C, and D each have a link to a website and no other links.

If the silencer factor is ignored, the result is the formula:
PR (A) = 1 / 1 + 1 / 1 + 1 / 1
A website is PageRank 3. Examples of more complicated (see page 199): A website has links to website B and C. B only has a link to A. C has a link to A, B and D. D only has a link to B. The formula for A will be:
PR (A) = 1 / 1 + 1 / 3
Link from B to 1, while from C only 1 / 3 by the number of links 3. The result was 1.33.
For B:
PR (Cool = 1 / 2 + 1 / 3 + 1 / 1
Rounded result is 1.83.
For C:
PR (C) = ½
The result is 0.5.
For D:
PR (D) = 1 / 3
The results are rounded to 0.33.

Number of PageRank website A, B, C and D should be equal to the number of website:
1.33 + 1.83 + 0.5 + 0.33 = 3.99

0.1 deficiency is caused by rounding. In these calculations are still missing. PageRank of every website is not included. Once again we take the example website B. When adjusted to the PageRank calculations obtained from the first step:
PR (Cool = 1 / 2 + 1 / 3 + 1 / 1

Obtained the following terms:
PR (Cool = 1.33 / 2 + 0.5 / 3 + 0.33 / 1

The result is rounded to 1.62. Of course, the new calculation PageRank PageRank website B to change the website A, C, and D. The new value of D back to change the value of B. Therefore, Google's PageRank is an iterative approach. Google takes the results of a calculation in the rotation for the next iteration step. According to Page and Brin, just 100 times iteration rounds to reach a close to the PageRank value of billions of websites found on the Internet. Damping factor: Include users in the calculation

Based on the assumption of Google, PageRank represents the possibility of a surfer to a website by clicking on a link. Because surfers are not likely to click non-stop, then insert into the formula in silencer factor.

That said, this silencer factor simulates surfers lose interest in following the link. This reduction is calculated into the amount of voting via the link to the website. In explanation of the algorithm, Sergey Brin and Larry Page requires a damping factor of 0.85. Can be assumed, in reality Google is indeed revolve around the value 0.85.

Unlike the example above, PageRank is actually set between 0 and 1 as the value of forecasts. From there a small decimal fraction obtained produces the PageRank of a website. A website with a value of 0.01 has a probability of 1% received a visit from a concerned user when clicking a link by chance.

However, here is still a puzzle. If the PageRank is expressed as a number between 0 and 1, why on oolbar Google (http://toolbar.google.com) value is displayed between 1 and 10? The answer, Google converts. How, is unclear. But many experts argue, conversion is not linear but logarithmic. That is, the jump from 1 to 2 PageRank in the toolbar is much easier than the best value from 9 to 10.

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