University of Isfahan Mathematics and Society 2345-6493 5 2 2020 08 22 Erdős number and co-authorship network: an application of graph theory in scientometrics Erdős number and co-authorship network: an application of graph theory in scientometrics 47 57 25684 10.22108/msci.2021.128339.1427 FA Hadi Safari Department of Software Engineering, Faculty of Electrical and Computer Engineering, Technical Faculties Campus, University of Tehran, Tehran, Iran Journal Article 2021 04 24 For over half a century, mathematicians have referred to the distance between themselves and Paul Erdős, the Hungarian mathematician, in writing joint scientific papers as the Erdős number. The Erdős number is an example of the distance between nodes in the co-authorship network of mathematicians, one of the networks used in scientometrics to study scientific collaborations and their behaviors. In this article, after reviewing the history of the Erdős number and its significance among mathematicians, we examine the co-authorship network as an example of the applications of graph theory in the field of scientometrics For over half a century, mathematicians have referred to the distance between themselves and Paul Erdős, the Hungarian mathematician, in writing joint scientific papers as the Erdős number. The Erdős number is an example of the distance between nodes in the co-authorship network of mathematicians, one of the networks used in scientometrics to study scientific collaborations and their behaviors. In this article, after reviewing the history of the Erdős number and its significance among mathematicians, we examine the co-authorship network as an example of the applications of graph theory in the field of scientometrics https://math-sci.ui.ac.ir/article_25684_828cfc78a949198e2b91a118bb469a93.pdf