Page rank formula

[RezwanKabir]

What is the formula of giving rank to the web pages?

[rasel786]

The principle behind PageRank calculation is that every link is a vote. The more links to a page, the better it must be - and the higher PageRank it is assigned. But - unlike a democratic society - all votes are not equal: Pages with a high PageRank have a bigger vote.

Google's formula looks like this:

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

Let's for a moment forget about the d (the damping factor) - and the formula becomes:

PR(A) = PR(T1)/C(T1) + ... + PR(Tn)/C(Tn) .

So what it says is: In order to find the PageRank for a page, called A, we must find all the pages that link to page A. Let's say we find a page, T1, which has a PageRank of 20 and links to 5 pages, then page T1 will give 4 points (i.e. 20/5) to page A. We do this for T2, T3 and all other pages linking to page A - and add up the values.

The only snag is that page A might link back to some of these pages - or link to some pages that in turn link to these pages, and if page A's PageRank increase, so will theirs. Therefore these calculations will have to be done again and again i.e. iteratively. This is where the spreadsheet on this site comes in handy.

PageRank could also be thought of as a probability. If your page has a PageRank of 20, and there are 4.285.199.774 pages indexed by Google, it follows that the odds that a "random surfer" is reading your page right now are 20/4.285.199.774.

In this section we will explore some values on the spreadsheet that normally should be left untouched, namely the initial PageRank and the damping factor.

[Mediumcube]

That formula is really interesting.

[radak10]

hahaha very interesting, sure.

[enKonversations]

Yes this formula is interesting but it is quite difficult to understand.

[saritayadav]

Google's most mysterious ranking influencer, the Google PageRank (PR), has been the topic of many discussions and observations. The way the Google PageRank calculation works is still not 100% clear today, but I thought it might be useful to write the concept of the original mechanism down in plain English and show it using a simple example.

The Google PageRank (PR) is calculated for every webpage that exists in Google's database. It's real value varies from 0,15 to infinite, but for representation purposes it is converted to a value between 0 and 10 (from low to high). The calculation of the PR for a page is based on the quantity and quality of webpages that contain links to that page.

[Webmastergrace]

Formula of page rank is interesting but not easy to understand.I'm totally confused.

[MY]

Each Google PageRank, which you see as a green bar in your Google Toolbar has its own hidden weight, which is not shown in the toolbar. In the simplified version table below you can see that each PR has 5 times more weight, than the previous PR.

PR of Backlink Page ======= PR Weight of Backlink Page
PR0 =================== 1
PR1 =================== 5
PR2 =================== 25
PR3 =================== 125
PR4 =================== 625
PR5 =================== 3,125
PR6 =================== 15,625
PR7 =================== 78,125
PR8 =================== 390,625
PR9 =================== 1,953,125
PR10 ================== 9,765,625

It means that if you have a backlink on Page A following to your Page B, then your page will get the following PR weight: PR weight of Page A / number of outbound links on Page A - 15% = weight, passed to your Page B - this is the formula! (Note: this formula is not invented. You can find the same, but more difficult explanation of Google PR formula on Wikipedia and other web resources.)

For example, if you have a backlink on PR6 page with 25 outbound links, then your page will get the following PR weight: 15,625 (weight of PR6 page) / 26 outbound links (25 existing links, plus your link will become 26th outbound link) - 15% = 510.82 passed PR weight. This weight will be added to your current page's weight. If your page is PR0 (1 weight), then it will become PR3 in the next Google PR update. Why PR3? Link from PR6 page passed 510.82 weight to your page, and if you take a look in the above table, you'll see that to get PR4, you need to have 625 weight. Since your page has only 511.82 weight, it will get PR3.

Now, let's take a look at another example for you to see how important the number of outbound links is. For example, if you have a backlink on PR6 page with only 1 outbound link, then your page will get the following PR weight: 15,625 (weight of PR6 page) / 2 (your link will become 2nd outbound link) - 15% = 6,640.62 weight. If your page is PR0, such backlink will increase your page PR to PR5 in the next Google PR update!

[trailblazer]

The formula looks very interesting yet too hard to understand I guess. To get a high PR use must get a high quality link juice. However, your so generous to share your idea. Thanks!