Google PageRank demystified: How To increase your page's PageRank  Practical TipsMarch 29, 2007 Google PageRank is, at its simplest, Google's score for your web site  how important it considers it, based on the number of 'votes' other web sites cast for it, i.e. the number of links to your site. The PageRank or importance of pages linking to your site further influences your PageRank, as well as the importance of that link on that page, i.e., whether it is one of many, one of a few, or the only outbound link.
Your PageRank score in turn determines whether a searcher is likely to find your site on a Google search  the more important your site, the higher it will place in the search results, and the more hits your site will receive.
If you're looking for web traffic  and most of us do  you'll want to optimize your PageRank. And while PageRank may be Googlespecific, other web engines almost certainly use similar algorithms, so optimizing for PageRank still makes sense.
This is Search Engine Optimization (also referred to by the abbreviation SEO)  or one good chunk of it. Some SEO techniques are intended to artificially inflate a site's PageRank, activities that can get you blacklisted, and that aren't be covered here. This article explains PageRank and its workings, and gives concrete advice on how to logically implement your site  in a way that makes it the best possible value for your visitors, and optimizes its PageRank.
There are other articles on Google's PageRank, full of complex math and complicated modelling and eigenvector centrality stuff. If you're interested, I recommend the PageRank article on Wikipedia and The Google Pagerank Algorithm and How It Works by Ian Rogers.
This article still covers basic theory, and a few examples, but its main intent is practical. Realworld recommendations and worksheets round it out.
PageRank was invented by Lawrence Page (PageRank, get it?) and Sergey Brin, at Stanford University. Find the original paper at http://infolab.stanford.edu/~backrub/google.html. The basic formula:
where PR is the PageRank, and PR(A) represents the PageRank of a certain page A, i.e. for any page you want to calculate this score for.
the other values:
d is the socalled damping factor, typically set at 0.85
n is the number of pages that link to page A
T1 is the first page to link to page A, and Tn the last
C is the count of outgoing links on any given page
The damping factor is an adjustment factor (typically set at 0.85) based on the knowledge that, on average, for any given page, someone browsing the web has only a 85% chance of continuing to click on to a next page. How it works is beyond the scope of this article. For practical purposes, however, it has several implications:
 The starting PageRank of any page, i.e. one without any incoming links, is 0.15 (i.e. 10.85). Every page has some intrinsic worth
 For any page linking to page A, the increase in page A's PageRank is 85% of the referring page's PageRank, divided by the number of links on that page
Regardless of what Google's damping factor is: every page  and every incoming link  has some intrinsic worth. You can't change your page's inherent PageRank, but you can get incoming links ...
Thus, the actual impact on your web page hinges on the sum of the values of all pages linking to yours, i.e.
This equation may look more complex; it isn't. Greek letter delta or Δ signifies the change in PageRank, and sigma or Σ indicates the bracketed part following it is to be summed for every page i from 1 to n. That is, the potentially modifiable part of your PageRank is equal to the sum, for all pages, of the PageRank of the incoming page, divided by the number of outbound links on that page.
For any given page linking to yours, your increase in PageRank value is (approximately)
Approximately, because, for the sake of simplicity, I've removed the damping factor. Additionally, it is likely that the actual PageRank is less than that calculated by the original formula, that it is a logarithm of the result  as discussed below.
There are obvious implications:
 The higher the PageRank of the incoming link, the better for your PageRank
 The fewer outbound links on the referring page, the better for your PageRank
 High PageRank effect is significantly diluted by many outbound links
 Lowranking pages with numerous outgoing links are essentially useless
How useless depends on how little an increase in PageRank you consider worth pursuing. For example, a page with a PageRank of 1, with 20 outgoing links, one of which links to your page A, will contribute add 1 ÷ 20 or 0.05 to your page's PageRank  probably worth it. Twenty such links will increase your PageRank by 1, which may seem like little, but makes a significant difference in traffic. On the other hand, a page with a rank of 0.15 and 50 outbound links would increase your PageRank by 0.003. Worth pursuing?
Maybe.
PageRank ain't everything. One more observation:
 If you expect a link will bring you significant or quality traffic, it's worth pursuing, regardless of PageRank
Thus, the accompanying Web Site PageRank Assessment Worksheet, free of charge, in both Excel  where it autocalculates the PageRank values, and helps decide whether a link is worth pursuing  and in PDF, where you'll have to do the math by hand.
You'll need to know the prospective referring page's PageRank. This is relatively easy  there are a number of utilities that will show you Google's last official PageRank for any given page. I recommend the PageRank utility included in
 even if you don't use Firefox normally, it's worth having. You should be checking your pages in the most common browsers  Internet Explorer and Firefox, and maybe Safari.
Don't be surprised that most pages have a rank of zero  most pages have few quality inbound links. The reported score is a rounded value, and is updated at very variable intervals: from 18 to 122 days apart, since 2000  though your actual PageRank, the one that Google uses to determine Search results, changes daybyday. Still, the PageRank tool is a good starting point.
Next, check how many links that page has  including the ones it uses to navigate its parent web site, and image/ad links. This can easily run into the hundreds, though it may seem far fewer. If you really want to know, you could view the page's source code, copy this to a competent text editor (i.e. one that will count all occurences of a caseinsensitive search string), and 'Find' all occurences of 'href', i.e. of all hyperlink tags.
Multiplepage sites, internal links, and the logarithmic downranking of PageRank
Every page has intrinsic value; it would seem logical that sites with many pages would increase each other's PageRank. They do. Still, you can hardly link all your pages to all your other pages: impractical, and something no visitor would appreciate. Additionally, you'd spread that page's "vote" over so many other pages that it would have little effect on any given page.
Most pages, however, have a menu structure: a topranked main page, and multiple secondtier menu pages, that link in turn to articles, blog pages, etc. These are your most important pages, these link your visitors to the content on your site. An attractive, welldesigned menu system, and welldesigned main pages are worth gold.
For a hypothetical menu system consisting of some 20 links to 20 main pages, with the menu present on all content pages, all with a base PageRank of 0.15, each content page would increase the PageRank of the main page by 0.85 x 0.15 ÷ 20 = 0.0064. Not much, perhaps, until the number of content pages starts to rise:
number of content pages  PageRank contributed by menu to main pages  calculated PageRank (0.15 plus contributions) 
10 100 1000 10000 
0.06375 0.6375 6.375 63.75 
0.21375 0.7875 6.525 63.9 
Impressive! and improbable. A PageRank of 64? Don't think so. Not even Wikipedia's Englishlanguage main page manages more than 9, as of this writing. And thus rampant speculation, on the internet, and in many a PhD thesis, that the change in PageRank is logarithmic  usually assumed to use a base of 6, that is, for every 6x increase in calculated value, actual PageRank goes up by 1.
Adjusting for this, we get the following PageRanks:
number of content pages  PageRank contributed by menu to main pages  calculated PageRank  logarithmic PageRank 
10 100 1000 10000 
0.06375 0.6375 6.375 63.75 
0.21375 0.7875 6.525 63.9 
0.11 0.32 1.13 2.33 
All in all  far more reasonable.
The adjusted PageRank formula:
(If you care  to get a PageRank of 0 to normalize to 0, add 1. So, 1  0.85 + 1 = 1.15. Also, I wish I could derive a simple formula for the effect of the logarithmic conversion on a single link  can't be done. But realize that the actual PageRank gained per incoming link is less than that calculated.)
Applying this equation to what we know about Wikipedia's English site: Main Page PageRank of 9. 1,708,229 articles or content pages, all linking back to this main page. A typical page with a PageRank of 5, 130 links (and many pages have hundreds), only 9 of which with the "nofollow" tag, and 2 back to the main page.
Applying the formula:
PR(Wikipedia Main) = log_{6}(1.15 + 0.85 x (1708229 x 2 x 5/121))
= 6.5
Seems low, but doesn't take account of the hundreds of thousands of external pages that point to Wikipedia, as well as the effect of the foreignlanguage Wikipedias on the Englishlanguage site. In that context, the math seems reasonable.
Which means that routinecontent pages, presuming they're 1 of 30 links on a main page (20 for the menu, 10 for content pages), or one of a great many more, work out to have a PR of log_{6}(0.15 + 0.11/30 + 1) = 0.08. Essentially  zero. Zip.
Finally, based on the adjusted formula, to increase your PageRank from 0.15 to 0.16, i.e. by 0.01, you'll need to increase your base PageRank by 0.025. As PageRank get higher, this amount will increase accordingly. Keep this in mind when you set your worksheet thresholds.
Implications:
 The actual PageRank is always less than that calculated using the basic formula, and
 The higher your PageRank, the less impact increasing numbers of incoming links will have
 Don't direct incoming links to routine content, if not necessary
 Concentrate your PageRank: focus your menu links to your main pages, only
 Direct incoming links to your site's main page where you can
Next page in this article: Google PageRank demystified, Part Two: Targeting incoming links, PageRank dilution by outgoing links, and Reciprocal links and their effect on PageRank
Last page: Google PageRank demystified, Part Three: Links pages and local PageRank, rel="nofollow" tags, Modifications to Google's PageRank algorithms, and Recommendations
