Arya Bhatta Journal of Mathematics and Informatics

  • Year: 2023
  • Volume: 15
  • Issue: 1

Proper Colourings in r-Regular Zagreb Index Graph

1Associate Professor in Mathematics, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli - 620018, India

2PG Scholar, PG and Research Department of Mathematics, Cauvery College for Women (Autonomous), Tiruchirappalli - 620018, India

*E-mail : litta.felix@gmail.com

**shanksrs994@gmail.com

Online Published on 08 June, 2023.

Abstract

In this article, the new concept proper colourings in r - regular Zagreb index graph has been introduced. The first and second Zagreb indices are introduced. New inequalities on chromatic number related with first and second Zagreb indices are being established.

Keywords

Regular graph, Proper Colouring, Zagreb index, Chromatic number