A Singular Perturbation Approach for Choosing the PageRank Damping Factor

Distribution of PageRank Mass Among Principle Components of the Web

We study the PageRank mass of principal components in a bow-tie Web Graph, as a function of the damping factor c. Using a singular perturbation approach, we show that the PageRank share of IN and SCC components remains high even for very large values of the damping factor, in spite of the fact that it drops to zero when c → 1. However, a detailed study of the OUT component reveals the presence ...

A new Approach to the Multi-Objective Control of Linear Singular Perturbation Systems

Application of PageRank Model for Olympic Women’s Taekwondo Rankings: Comparison of PageRank and Accumulated Point Index System

Background. Although the World Taekwondo federation currently applies the APIS ranking method to calculate the Olympic rankings, some limitations exist. Objectives. This study applies the PageRank model to Olympics Taekwondo rankings. Methods. The 2015-2018 World Taekwondo Grand Prix competition results for women’s four weight classes (-49kg, -57kg, -67kg, +67kg) were used as research data, t...

Detecting the location of the boundary layers in singular perturbation problems with general linear non-local boundary ‎conditions‎

Singular perturbation problems have been studied by many mathematicians. Since the approximate solutions of these problems are as the sum of internal solution (boundary layer area) and external ones, the formation or non-formation of boundary layers should be specified. This paper, investigates this issue for a singular perturbation problem including a first order differential equation with gen...

Damping factor in Google page ranking

Google, the largest search engine worldwide, adopts PageRank technology to determine the rank of website listings. This paper describes how damping factor is a critical factor in changing a website’s ranking in traditional Google PageRank technology. A modified algorithm based on input–output ratio concept is proposed to substitute for the damping factor. Besides there is no need to choose an o...