On Rolf Nevanlinna Prize Winners Collaboration Graph

V. Yegnanarayanan1, G.K. Umamaheswari2
1Senior Professor, Department of Mathematics Velammal Engineering College Ambattur-Red Hills Road, Chennai – 600 066, India
2Research Scholar, Research and Development Centre Bharathiar University, Coimbatore-641046, India.

Abstract

he problem of determining the collaboration graph of co-authors of Paul Erdos is a challenging task. Here we take up this problem for the case of Rolf Nevanlinna Prize Winners. Even though the number of prize winners as of date is 7, the collaboration graph has 20 vertices and 41 edges and possesses several interesting properties. In this paper, we have obtained this graph and determined standard graph parameters for the graph as well as its complement besides probing its structural properties. Several new results were obtained.

Keywords: Collaboration graph, Erdos, Rolf Nevalinna Prize Win- ner.