A new Approach to Erdos Collaboration Network using PageRank

Abstract

Using the data on Paul Erdos, his co-authors and their co-authors, we can construct a network called the Erd?s Collaboration network. Then we do reduction, analysis and visualization with it using program Pajek. In this paper, we develop a reasonable academic influence measuring method applying PageRank algorithm on the case of the Erd?s Collaboration network. We find that ALON, NOGA M is the most influential mathematician in the network. In addition, to measure impact, we construct a dynamic model, whereas it needs too much data for us to calculate the dynamic index.

Keywords: PageRank, Collaboration network, Network analysis.