Atom–bond connectivity index of graphs: a review over extremal results and bounds 1.
Introduction Page 1 Discrete Mathematics Letters www.dmlett.com Discrete Math. Lett. 5 (2021) …

Let G be a simple graph. The atom–bond connectivity index (ABC) of G is defined as ABC
(G)=∑ uv∈ E (G) d (u)+ d (v)− 2 d (u) d (v), where d (v) denotes the degree of vertex v of G …

Phenylenes are a class of conjugated hydrocarbons composed of a special arrangement of
six-and four-membered rings. In this paper, the expected values of the atom-bond …

The atom-bond connectivity index (ABC-index) is a useful topological index employed in
studying the stability of alkanes and the strain energy of cycloalkanes. The ABC-index of a …

The augmented Zagreb index (AZI) of an n-vertex graph G=(V, E) is defined as AZI (G)=∑
vivj∈ E [didj/(di+ dj− 2)] 3, where V={v0, v1,···, vn− 1}, n≥ 3, and di denotes the degree of …

Sharp inequalities for the atom-bond (sum) connectivity index Page 1 Journal of Mathematical
Inequalities Volume 17, Number 4 (2023), 1411–1426 doi:10.7153/jmi-2023-17-92 SHARP …

On Chemical Trees That Maximize Atom–Bond Connectivity Index, Its Exponential Version,
and Minimize Exponential Geometric–Ar Page 1 On Chemical Trees That Maximize Atom–Bond …

Let G be a graph with vertex set V (G) and edge set E (G). The ABC index of G, denoted by
ABC (G), is defined as ABC (G)=∑ uv∈ E (G) d G (u)+ d G (v)− 2 d G (u) d G (v). In [B …

The atom-bond connectivity (ABC) index of a graph G=(V, E) is defined as ABC (G)=∑ vivj∈
E (d i+ dj− 2)/(didj), where V={v 0, v 1,⋅⋅⋅, vn− 1} and di denotes the degree of vertex vi of …

The atom-bond connectivity index ABC is a topological index that has recently found
remarkable applications in the study of the strain energy of cycloalkanes as well as in …