Google's PageRank and beyond - the science of search engine rankings

Google’s PageRank and Beyond: The Science of Search Engine Rankings This page intentionally left blank Google’s PageRank and Beyond: The Science of Search Engine Rankings

Towards a Decentralized Search Architecture for the Web and P2P Systems

Search engines are among the most important applications or services on the web. Most existing successful search engines use a centralized architecture and global ranking algorithms to generate the ranking of documents crawled in their databases, for example, Google's PageRank. However, global ranking of documents has two potential problems: high computation cost, and potentially poor rankings....

Application of PageRank Model for Olympic Women’s Taekwondo Rankings: Comparison of PageRank and Accumulated Point Index System

Background. Although the World Taekwondo federation currently applies the APIS ranking method to calculate the Olympic rankings, some limitations exist. Objectives. This study applies the PageRank model to Olympics Taekwondo rankings. Methods. The 2015-2018 World Taekwondo Grand Prix competition results for women’s four weight classes (-49kg, -57kg, -67kg, +67kg) were used as research data, t...

Ranking National Football League teams using Google's PageRank

The search engine Google uses the PageRanks of webpages to determine the order in which they are displayed as the result of a web search. In this work we expand Google’s idea of webpage ranking to ranking National Football League teams. We think of the teams as webpages and use the statistics of a football season to create the connections (links) between the teams. The objective is to be able t...

A New Method to Find the Eigenvalues of Convex Matrices with Application in Web Page Rating

Although many factors determine Google's overall ranking of search engine results, Google maintains that the heart of its search engine software is PageRank, the eigenvector corresponds to the maximal eigenvalue in the Google matrix. In this note, we deals with a very special case of this positive matrix; i.e. when it is a positive convex matrix, then we provide a new way which can be used as a...