The $k$-apex trees with minimum augmented Zagreb index

Muhuo Liu, Shumei Pang, Francesco Belardo +1

For a connected graph $G$ on at least three vertices, the augmented Zagreb index (AZI) of $G$ is defined as $$AZI(G)=\sum_{uv\in E(G)}\left(\frac{d(u)d(v)}{d(u)+d(v)-2}\right)^{3},…