The ABS (atom-bond sum-connectivity) index is a topological index, that was introduced in
2022 by amalgamating the main ideas of two well-examined indices. Mathematical aspects …

The sum-connectivity, Randić, and atom-bond connectivity indices have a prominent place
among those topological indices that depend on the graph's vertex degrees. The ABS (atom …

Let G be a graph with n vertices, and di be the degree of its i-th vertex. The ABS matrix of G
is the square matrix of order n whose (i, j)-entry is equal to (di+ dj-2)/(di+ dj) if the i-th vertex …

Let G be a graph with edge set E (G). Denote by du the degree of a vertex u in G. The atom-
bond sum-connectivity (ABS) index of G is defined as ABS (G)=∑ xy∈ E (G)√(dx+ dy …

The atom-bond sum-connectivity index and Randić index are two well-known topological
indices in chemical graph theory. The difference between ABS index and Randić index for a …

We consider general atom-bond sum-connectivity indices ABS ℓ for 1/2≤ ℓ≤ 1 and study
their values over all trees on a given number of vertices with a fixed maximum degree Δ. We …

The recently introduced atom-bond sum-connectivity (ABS) index is receiving nowadays
significant attention in chemical graph theory. In this paper, an inequality between the ABS …

On the maximum atom-bond sum-connectivity index of unicyclic graphs with given diameter
Page 1 https://www.aimspress.com/journal/Math AIMS Mathematics, 9(8): 22239–22250 …

Topological indices are numerical graph invariants generated from molecular graphs of
chemicals to explain their structural properties. The atom-bond sum-connectivity (ABS) index …

The atom-bond sum-connectivity ($ ABS $) index of a graph $ G=(V, E) $ is defined as $
ABS (G)=\sum_ {\xi\zeta\in E (G)}\sqrt {\frac {d (\xi)+ d (\zeta)-2}{d (\xi)+ d (\zeta)}}, $ where …