New bounds on atom-bond sum-connectivity index in graphs

Articles in Press

Document Type : Original paper

Authors

1 Department of Mathematics, Shahed University, Tehran, Iran

2 Department of Mathematics, Babol Noshirvani University of Technology Shariati Ave., Babol, I.R. Iran, Postal Code: 47148-71167

Abstract

The atom-bond sum-connectivity index ($\operatorname{ABS}$) has recently been introduced as a variation of the classical atom-bond connectivity index, in which the product of vertex degrees in the denominator of each term is replaced by their sum. In this paper, we first establish a connection between the $\operatorname{ABS}$ index and the spectral radius of a graph. We then examine the relationships between the $\operatorname{ABS}$ index and several well-known degree-based topological indices. Furthermore, we improve several previous bounds presented in the literature.

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References

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Communications in Combinatorics and Optimization

Articles in Press, Accepted Manuscript
Available Online from 16 December 2025

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