Some new bounds on the modified first Zagreb index

Document Type : Original paper

Authors

1 Faculty of Electronic Engineering, University of Nis, Nis, Serbia

2 Faculty of Electronic Engineering

3 University of Hail, Saudi Arabia

Abstract

Let G be a graph containing no isolated vertices. For the graph G, its modified first Zagreb index is defined as the sum of reciprocals of squares of vertex degrees of G. This article provides some new bounds on the modified first Zagreb index of G in terms of some other well-known graph invariants of G. From the obtained bounds, several known results follow directly.

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References

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Communications in Combinatorics and Optimization
Volume 8, Issue 1
March 2023
Pages 13-21

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