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Network theory
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===Link analysis=== [[Link analysis]] is a subset of network analysis, exploring associations between objects. An example may be examining the addresses of suspects and victims, the telephone numbers they have dialed, and financial transactions that they have partaken in during a given timeframe, and the familial relationships between these subjects as a part of police investigation. Link analysis here provides the crucial relationships and associations between very many objects of different types that are not apparent from isolated pieces of information. Computer-assisted or fully automatic computer-based link analysis is increasingly employed by [[bank]]s and [[insurance]] agencies in [[fraud]] detection, by telecommunication operators in telecommunication network analysis, by medical sector in [[epidemiology]] and [[pharmacology]], in law enforcement [[Criminal procedure|investigation]]s, by [[search engine]]s for [[relevance]] rating (and conversely by the [[search engine spammer|spammers]] for [[spamdexing]] and by business owners for [[search engine optimization]]), and everywhere else where relationships between many objects have to be analyzed. Links are also derived from similarity of time behavior in both nodes. Examples include climate networks where the links between two locations (nodes) are determined, for example, by the similarity of the rainfall or temperature fluctuations in both sites.<ref name="TsonisSwanson2006">{{cite journal| vauthors = Tsonis AA, Swanson KL, Roebber PJ |title=What Do Networks Have to Do with Climate?|journal=Bulletin of the American Meteorological Society|volume=87|issue=5|year=2006|pages=585โ595|issn=0003-0007|doi=10.1175/BAMS-87-5-585|bibcode=2006BAMS...87..585T|doi-access=free}}</ref><ref name="Boers2014">{{cite journal | vauthors = Boers N, Bookhagen B, Barbosa HM, Marwan N, Kurths J, Marengo JA | title = Prediction of extreme floods in the eastern Central Andes based on a complex networks approach | journal = Nature Communications | volume = 5 | pages = 5199 | date = October 2014 | pmid = 25310906 | doi = 10.1038/ncomms6199 | s2cid = 3032237 | doi-access = free | bibcode = 2014NatCo...5.5199B | author5-link = Jรผrgen Kurths }}</ref> ====Web link analysis==== Several [[Web search]] [[ranking]] algorithms use link-based centrality metrics, including [[Google]]'s [[PageRank]], Kleinberg's [[HITS algorithm]], the [[CheiRank]] and [[TrustRank]] algorithms. Link analysis is also conducted in information science and communication science in order to understand and extract information from the structure of collections of web pages. For example, the analysis might be of the interlinking between politicians' websites or blogs. Another use is for classifying pages according to their mention in other pages.<ref>{{cite journal| vauthors = Attardi G, Di Marco S, Salvi D |title=Categorization by Context|journal=[[Journal of Universal Computer Science]]|year=1998|volume=4|issue=9|pages=719โ736|url=http://www.jucs.org/jucs_4_9/categorisation_by_context/Attardi_G.pdf}}</ref>
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