M. Nadeem

Bounds on Atom-Bond Connectivity and Zagreb Indices in Trees with a Given Metric Dimension

Let G=(V,E) be a simple connected graph, where V and E denote the vertex and edge sets, respectively. The first Zagreb index is defined as H1(G)=∑ν∈VdegG(ν)2. Meanwhile, the second Zagreb index is given by H2(G)=∑ν1ν2∈EdegG(ν1)degG(ν2), where degG(ν) represents the degree of vertex ν. Another notable degree-based invar...