BUILT-IN MATHEMATICA SYMBOL
HITSCentrality
HITSCentrality[g]
gives a list of authority and hub centralities for the vertices in the graph g.
- HITSCentrality gives two lists of authority centralities
and hub centralities 
for each vertex.
- If the graph g has adjacency matrix
, then authority centralities are given by ![TemplateBox[{a}, Transpose].a.x=lambda_1 x](Files/HITSCentrality.en/4.png "TemplateBox[{a}, Transpose].a.x=lambda_1 x")
, where 
is the largest eigenvalue of ![TemplateBox[{a}, Transpose].a](Files/HITSCentrality.en/6.png "TemplateBox[{a}, Transpose].a")
, and hub centralities are given by 
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- The authority and hub centralities satisfy
and ![x=1/lambda_1TemplateBox[{a}, Transpose].y](Files/HITSCentrality.en/9.png "x=1/lambda_1TemplateBox[{a}, Transpose].y")
. »
- The option WorkingPrecision->p can be used to control the precision used in internal computations.
Compute HITS hub and authority centralities:
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Chart of the data:
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Rate web pages using hyperlink-induced topic search:
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Web pages with high hub centralities are connected to many other web pages:
Out[3]//Short= |
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Web pages with high authority centralities are connected from many other web pages:
Out[4]//Short= |
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