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 PublishingCite 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.comAbstract
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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