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G. Su, L. Xiong, L. Xu and B. Ma, On the maximum and minimum first reformulated Zagreb index with connectivity bat most k, FILMAT 25 (2011) 75-83.

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Article

On the Bounds of the First Reformulated Zagreb Index

1Department of Mathematics, University of Haifa, 3498838 Haifa, Israel

2Institute for Computer Science, Friedrich Schiller University Jena, Germany

3Department of Mathematics, Velammal Engineering College, Surapet, Chennai-66, Tamil Nadu, India

4Department of Mathematics, Sacred Heart College, Tirupattur-635601, Tamil Nadu, India


Turkish Journal of Analysis and Number Theory. 2016, Vol. 4 No. 1, 8-15
DOI: 10.12691/tjant-4-1-2
Copyright © 2016 Science and Education Publishing

Cite this paper:
T. Mansour, M. A. Rostami, E. Suresh, G. B. A. Xavier. On the Bounds of the First Reformulated Zagreb Index. Turkish Journal of Analysis and Number Theory. 2016; 4(1):8-15. doi: 10.12691/tjant-4-1-2.

Correspondence to: E.  Suresh, Department of Mathematics, Velammal Engineering College, Surapet, Chennai-66, Tamil Nadu, India. Email: sureshkako@gmail.com

Abstract

The edge version of traditional first Zagreb index is known as first reformulated Zagreb index. In this paper, we analyze and compare various lower and upper bounds for the first reformulated Zagreb index and we propose new lower and upper bounds which are stronger than the existing and recent results [Appl. Math. Comp. 273 (2016) 16-20]. In addition, we prove that our bounds are superior in comparison with the other existing bounds.

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