The two Zagreb indices M 1=∑ vd (v) 2 and M 2=∑ uvd (u) d (v) are vertex-degree-based
graph invariants that have been introduced in the 1970s and extensively studied ever since …

A molecular graph is a finite simple graph representing the carbon-atom skeleton of an
organic molecule of a hydrocarbon. Studying molecular graphs is a constant focus in …

Abstract The Sombor index SO, the reduced Sombor index SO red, and the average Sombor
index SO avg have been introduced recently, and it was shown that they have good …

Let G be a graph with n vertices and di is the degree of its ith vertex (di is the degree of vi). In
this article, we compute the redefined first Zagreb index, redefined second Zagreb index …

The inverse degree index, also called inverse index, first attracted attention through
numerous conjectures generated by the computer programme Graffiti. Since then its …

The distance $ d (u, v) $ between the vertices $ u $ and $ v $ of a connected graph $ G $ is
defined as the number of edges in a minimal path connecting them. The\emph …

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In this paper, we examine the Gutman–Milovanović index and establish new upper and
lower bounds for it. These bounds include terms related to the general sum connectivity …

In theoretical chemistry, the researchers use graph models to express the structure of
molecular, and the Zagreb indices and redefined Zagreb indices defined on molecular …

The inverse degree index, also called inverse index, first attracted attention through
numerous conjectures generated by the computer programme Graffiti. Since then, its …