Google's PageRank algorithm

Within a few years of the birth of the web in 1990, there were over a dozen search engines that users could use to search for information. Shortly after it was introduced in 1995, AltaVista became the most popular among them. These search engines would categorize web pages according to the topics that the pages themselves specified.

But the problem with these early search engines was that unscrupulous web page writers used deceptive techniques to attract traffic to their pages. For example, a local rug-cleaning service might list "pizza" as a topic in their web page header, just to attract people looking to order a pizza for dinner. These and other tricks rendered early search engines nearly useless.

To overcome the problem, various page ranking systems were attempted. The objective was to rank a page based upon its popularity among users who really did want to view its contents. One way to estimate that is to count how many other pages have a link to that page...