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The Mathematics of Internet Search Engines

Andersson, Fredrik and Silvestrov, Sergei LU (2007) In Preprints in Mathematical Sciences
Abstract
This article presents a survey of techniques for ranking results in search engines, with emphasis on link-based ranking methods and the PageRank algorithm. The problem of selecting, in relation to a user search query, the most relevant documents from an unstructured source

such as the WWW is discussed in detail. The need for extending classical information retrieval techniques such as boolean searching and vector space models with

link-based ranking methods is demonstrated. The PageRank algorithm is introduced, and its numerical and spectral properties are discussed. The article concludes with an alternative means of computing PageRank, along with some example applications of this new method.
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author
and
organization
publishing date
type
Contribution to journal
publication status
unpublished
subject
keywords
Power series, Power method, Citation ranking, Search engines, PageRank, Information retrieval, Text indexing, Markov chains, Ranking
in
Preprints in Mathematical Sciences
issue
10
pages
39 pages
publisher
Lund University
external identifiers
  • other:LUTFMA-5085-2007/1-39/(2007)
ISSN
1403-9338
project
Non-commutative Analysis of Dynamics, Fractals and Wavelets
Non-commutative Geometry in Mathematics and Physics
language
English
LU publication?
yes
id
ded1293d-684c-4168-9547-2d3bb98cb50a (old id 960186)
date added to LUP
2016-04-04 09:35:38
date last changed
2018-11-21 20:54:13
@article{ded1293d-684c-4168-9547-2d3bb98cb50a,
  abstract     = {This article presents a survey of techniques for ranking results in search engines, with emphasis on link-based ranking methods and the PageRank algorithm. The problem of selecting, in relation to a user search query, the most relevant documents from an unstructured source<br/><br>
such as the WWW is discussed in detail. The need for extending classical information retrieval techniques such as boolean searching and vector space models with <br/><br>
link-based ranking methods is demonstrated. The PageRank algorithm is introduced, and its numerical and spectral properties are discussed. The article concludes with an alternative means of computing PageRank, along with some example applications of this new method.},
  author       = {Andersson, Fredrik and Silvestrov, Sergei},
  issn         = {1403-9338},
  language     = {eng},
  number       = {10},
  publisher    = {Lund University},
  series       = {Preprints in Mathematical Sciences},
  title        = {The Mathematics of Internet Search Engines},
  year         = {2007},
}