carusel02/pagerank

Implement Google PageRank-algorithm in Matlab

Pagerank search algorithm

PageRank (PR) is an algorithm used by Google Search to rank web pages in their search engine results. It is named after both the term "web page" and co-founder Larry Page. PageRank is a way of measuring the importance of website pages.

Requirement

1. ITERATIVE

• Reading the file with fscanf and forming the adjacency matrix
• Ensuring that we exclude the node that accesses itself
• The elements on the diagonal should be 0
• Calculation of the initial PR vector
• Calculation of the PR vector up to a condition
• Retrieving formulas according to wikipedia

2. ALGEBRAIC

• The same reading as in the previous step
• Formation of the matrix
• Decomposition of the matrix in the form Q R (Gram Schimdt)
• Solving an upper triangular system
• Retrieving formulas according to wikipedia

3. GRADE

• Sort the PR vector from the Algebraic algorithm with the simple Bubblesort function
• Return sorted vector and node vector
• Implementation of the Membership function

Testing

Run the Pagerank function from the command line and notice that the files graf1.out and graf2.out are good.