Title
Towards two-dimensional search engines
Abstract
We study the statistical properties of various directed networks using ranking of their nodes based on the dominant vectors of the Google matrix known as PageRank and CheiRank. On average PageRank orders nodes proportionally to a number of ingoing links, while CheiRank orders nodes proportionally to a number of outgoing links. In this way, the ranking of nodes becomes two dimensional which paves the way for the development of two-dimensional search engines of a new type. Statistical properties of information flow on the PageRank-CheiRank plane are analyzed for networks of British, French and Italian universities, Wikipedia, Linux Kernel, gene regulation and other networks. A special emphasis is done for British universities networks using the large database publicly available in the UK. Methods of spam links control are also analyzed.
Year
DOI
Venue
2011
10.1088/1751-8113/45/27/275101
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
DocType
Volume
Issue
Journal
45
27
ISSN
Citations 
PageRank 
1751-8113
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Leonardo Ermann1485.94
Alexei Chepelianskii230.77
Dima Shepelyansky311113.71