PageRank is a numeric value that represents how important a page is on the web. Google figures that when one page links to another page, it is effectively casting a vote for the other page. The more votes that are cast for a page, the more important the page must be. Also, the importance of the page that is casting the vote determines how important the vote itself is. Google calculates a page’s importance from the votes cast for it. How important each vote is is taken into account when a page’s PageRank is calculated.
How can you tell what a page’s PageRank is?
You can download a toolbar for Internet Explorer from http://toolbar.google.com. Once installed, there will be a bar graph at the top of the browser showing a version of PageRank for the page you’re browsing. When you hold the mouse over the bar, you see a number from zero to ten. (If you don’t see the number, you may have an older version of the toolbar installed. You will need to completely uninstall it, reboot your computer and reinstall the latest version. Once this is done, you should be able to see the PageRank number.) You can View Google results in a PageRank order at Google Directory. Click to open >>
Improving Google PageRank
As Webmasters, contrary to the suggestions of some, we have a fair amount of control over PageRank. It is, however, the most difficult of ranking factors to control, and you might well be able to achieve the desired effects by using other techniques. However, a well-worked PageRank added to your optimization mix can make it difficult for competitors to catch up. There are three fundamental areas to look at when trying to optimize the PageRank for your site:
The links you choose to have link to you, i.e., which ones you choose, and how much effort you put in to getting them.
Who you choose to link out to from your site, and from which page of your site you place their link. (Maximising PageRank Feedback and minimizing PageRank leakage).
The internal navigational structure and linkage of your pages, in order to best distribute PageRank within your site.
The Mathematics behind PageRank
The theoretical concept of PageRank interprets Web sites as directed multigraphs with pages on their tops,It is widely known that multigraphs are used to describe and build self-learning systems, which model the behavior of animals. Googlebot (Google’s spider), explores a site, traces links between pages, and forms the matrix of links, which contains all information about the topology of that site. Equation for the computation scheme:
This equation of a recursive computational scheme allows taking into consideration, and then computing, the estimating values of a Web site paying attention to the probable complexity of links between pages. PageRank using the classical Shannon’s formula to run a parallel demonstration, which was normally used for calculation of the volume of the information, which an experiment contains, and which has n outcomes with the set probabilities.
Fetching a data without a key in a huge text databases. Martin E. Rotstain (Search3w CEO) BI University, 1985.
Stochastic Models for Learning. Bush and Mosteller, Wiley, New York, 1955.