# Questions tagged [page-rank]

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### How does Pagerank iteratively calculate an eigenvector?

I understand that Pagerank works by finding the eigenvector $\lambda$ to the eigenvalue $\epsilon=1$ of a Markov matrix $A \in \mathbb{R}^{n \times n}$. And, as far as I know, the iterative algorithm ...
9 views

### Help with a google rank for each site in the network.

Consider the following web sites on the internet. Each node represents a website and the arrows indicate hyperlinks between the sites. Find the most important website in this network. In this case we ...
34 views

### Find a Google rank for each site in the following network. [closed]

Consider the following web sites on the internet. Each node represents a website and the arrows indicate hyperlinks between the sites. Find the most important website in this network. Let’s define ...
10 views

### Testing from which of two jars my sample set has come from and with what significance? What if the significance is a function of the success events?

Assume I have two jars, each having two sets of balls, black and white. The balls have different weights, and for the white (success draw) balls, the heavier weight makes a more significant success if ...
73 views

### PageRank sensitive calculation

𝐀 is the adj. matrix of a directed graph 𝐺. 𝐱 is the PageRank vector we calculate for a given 𝛼 (e.g. 0.85). 𝐶 is a subset of pages of 𝐺, for which we change some of the outgoing links. By 𝐱̃ ...
39 views

### Rank of a jacobian matrix

I have the following problem: Let $x,v\in\mathbb{R}^n$ be strictly stochastic vectors ($x_i>0; \sum_{i=1}^n x_i=1$). Let $R\in\mathbb{R}^n\times\mathbb{R}^{n^2}$ a matrix with stochastic columns ...
59 views

### Topic sensitive page rank [closed]

I have a question regarding the topic sensitive PageRank algorithm. The picture shows how the transition matrix A is modified in order to make the normal PageRank algorithm topic sensitive. Why don'...