Table 1 Degree-based Topological Indices.

Atom bond connectivity index

\(ABC(G)=\sum \limits _{{uv} \in {E(G)}}\sqrt{\frac{d(u)+d(v)-2}{d(u)d(v)}}\)

Randic index

\(RA(G)=\sum \limits _{{uv} \in {E(G)}}\frac{1}{\sqrt{d(u)d(v)}}\)

Sum connectivity index

\(S(G)=\sum \limits _{{uv} \in {E(G)}}\frac{1}{\sqrt{d(u)+d(v)}}\)

Geometric-Arithmetic index

\(GA(G)=\sum \limits _{{uv} \in {E(G)}}\frac{2\sqrt{d(u)d(v)}}{d(u)+d(v)}\)

First Zagreb index

\(M_1(G)=\sum \limits _{{uv} \in {E(G)}}[d(u)+d(v)]\)

Second Zagreb index

\(M_2(G)=\sum \limits _{{uv} \in {E(G)}}[d(u)d(v)]\)

Harmonic index

\(H(G)=\sum \limits _{{uv} \in {E(G)}}[\frac{2}{d(u)+d(v)}]\)

Hyper Zagreb index

\(HM(G)=\sum \limits _{{uv} \in {E(G)}}[d(u)+d(v)]^2\)

Forgotten index

\(F(G)=\sum \limits _{{uv} \in {E(G)}}[d(u)^2+d(v)^2]\)