Author

Akbar Ali

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Open access Aug 2026

On the Minimum First-Inverse Nirmala Index of Trees

Let G be a graph with edge set E(G). The degree of a vertex w in G is denoted by d(w). The first-inverse Nirmala (FIN) index and the atom-bond connectivity (ABC) index of the graph G are defined, respectively, as FIN(G)=∑uv∈E(G)(d(u))−1+(d(v))−1 and ABC(G)=∑uv∈E(G)(d(u))−1+(d(v))−1−2(d(u)d(v))−1. The problem of determi...

A. Alotaibi, Akbar Ali · Symmetry · 0 citations

Open access Aug 2026

Reciprocal Mean Square Index of Graphs

The reciprocal mean square (RMS) index of a graph G with edge set E(G) is defined by RMS(G)=∑uv∈E(G)[(d(u))2+(d(v))2]−1, where d(u) and d(v) are the degrees of vertices u and v, respectively. We first establish several bounds for the RMS index in terms of standard graph parameters (including the size, minimum degree, a...

A. Alotaibi, Akbar Ali · Mathematics · 0 citations