A note on the augmented Zagreb index of cacti with fixed number of vertices and cycles

Abstract

Let ${\mathcal{C}}_{n,k}$ be the family of all cacti with $k$ cycles and $n\ge 4$ vertices. In the present note, the element of the class ${\mathcal{C}}_{n,k}$ having minimum augmented Zagreb index ($AZI$) is characterized. Moreover, some structural properties of the graph(s) having maximum $AZI$ value over the collection ${\mathcal{C}}_{n,0}$, are also reported.

10 pages, 2 figures

References in corpus (1)

• On the Augmented Zagreb Index

Cited by in corpus (1)

• Further Inequalities Between Vertex-Degree-Based Topological Indices