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Arya Bhatta Journal of Mathematics and Informatics
Year : 2023, Volume : 15, Issue : 1
First page : ( 149) Last page : ( 154)
Print ISSN : 0975-7139. Online ISSN : 2394-9309.
Article DOI : 10.5958/2394-9309.2023.00020.3

Proper Colourings in r-Regular Zagreb Index Graph

Litta E.1,*, Datshini S.2,**

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.

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Keywords

Regular graph, Proper Colouring, Zagreb index, Chromatic number.

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