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arXiv · 2309.13689

On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices

Akbar Ali·Ivan Gutman·Izudin Redzepovic·Jaya Percival Mazorodze·Abeer M. Albalahi·Amjad E. Hamza
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Abstract

The atom-bond-connectivity (ABC) index is one of the well-investigated degree-based topological indices. The atom-bond sum-connectivity (ABS) index is a modified version of the ABC index, which was introduced recently. The primary goal of the present paper is to investigate the difference between the aforementioned two indices, namely $ABS-ABC$. It is shown that the difference $ABS-ABC$ is positive for all graphs of minimum degree at least $2$ as well as for all line graphs of those graphs of order at least $5$ that are different from the path and cycle graphs. By means of computer search, the difference $ABS-ABC$ is also calculated for all trees of order at most $15$.

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Akbar Ali, Ivan Gutman, Izudin Redzepovic, Jaya Percival Mazorodze, Abeer M. Albalahi, Amjad E. Hamza. 2023-09-24. On the Difference of Atom-Bond Sum-Connectivity and Atom-Bond-Connectivity Indices. https://arxiv.org/abs/2309.13689

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