PageRankVector[g]
returns the page rank of the graph g.


PageRankVector
PageRankVector[g]
returns the page rank of the graph g.
Details and Options
- 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:
-
Tolerance Automatic the tolerance that should be allowed in computing results TeleportProbability 0.15 the probability that an internet user may choose to visit a vertex at random instead of choosing an outlink RemoveSinks True whether 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PageRankVector has been superseded by PageRankCentrality:
Tech Notes
Related Guides
-
▪
- Graph Utilities Package ▪
- Graphs & Networks ▪
- Graph Visualization ▪
- Computation on Graphs ▪
- Graph Construction & Representation ▪
- Graphs and Matrices ▪
- Graph Properties & Measurements ▪
- Graph Operations and Modifications ▪
- Statistical Analysis ▪
- Social Network Analysis ▪
- Graph Properties ▪
- Mathematical Data Formats ▪
- Discrete Mathematics
Text
Wolfram Research (2007), PageRankVector, Wolfram Language function, https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html.
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
BibTeX
@misc{reference.wolfram_2025_pagerankvector, author="Wolfram Research", title="{PageRankVector}", year="2007", howpublished="\url{https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html}", note=[Accessed: 18-August-2025]}
BibLaTeX
@online{reference.wolfram_2025_pagerankvector, organization={Wolfram Research}, title={PageRankVector}, year={2007}, url={https://reference.wolfram.com/language/GraphUtilities/ref/PageRankVector.html}, note=[Accessed: 18-August-2025]}