GraphUtilities`
GraphUtilities`

PageRankVector

As of Version 10, all the functionality of the GraphUtilities package is built into the Wolfram System. »

PageRankVector[g]

returns the page rank of the graph g.

Details

  • PageRankVector functionality is now available in the built-in Wolfram Language function PageRankCentrality.
  • To use PageRankVector, you first need to load the Graph Utilities Package using Needs["GraphUtilities`"].
  • The following options can be given:
  • ToleranceAutomaticthe tolerance that should be allowed in computing results
    TeleportProbability0.15the probability that an internet user may choose to visit a vertex at random instead of choosing an outlink
    RemoveSinksTruewhether sinks (a sink is a vertex with no outer links) are removed by linking with all vertices
  • PageRankVector calculates the page rank of nodes in a directed graph and returns them as a vector. The ordering of the vector is the same as that of VertexList.

Examples

Basic Examples  (2)

This shows a small network of web pages:

This calculates the page ranks:

PageRankVector has been superseded by PageRankCentrality:

Wolfram Research (2007), PageRankVector, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html.

Text

Wolfram Research (2007), PageRankVector, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html.

BibTeX

@misc{reference.wolfram_2020_pagerankvector, author="Wolfram Research", title="{PageRankVector}", year="2007", howpublished="\url{https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html}", note=[Accessed: 18-January-2021 ]}

BibLaTeX

@online{reference.wolfram_2020_pagerankvector, organization={Wolfram Research}, title={PageRankVector}, year={2007}, url={https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html}, note=[Accessed: 18-January-2021 ]}

CMS

Wolfram Language. 2007. "PageRankVector." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html.

APA

Wolfram Language. (2007). PageRankVector. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html