Table 1 Degree based topological descriptors.
Topological indices | Notation | Mathematical formula |
|---|---|---|
Randic Index35 | \(R_{\alpha } (G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {(\psi (\xi } ) \times (\psi (\Omega ))^{\alpha } ;\alpha = 1, - 1,\frac{1}{2},\frac{ - 1}{2}\) |
Atom bondconnectivity Index36 | \(ABC(G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {\sqrt {\frac{(\psi (\xi ) + (\psi (\Omega )) - 2}{{(\psi (\xi ) \times (\psi (\Omega ))}}} }\) |
Geometric arithmetic Index37 | \(GA(G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {\frac{{2\sqrt {(\psi (\xi ) \times (\psi (\Omega ))} }}{(\psi (\xi ) + (\psi (\Omega ))}}\) |
First Zagreb Index38 | \(M_{1} (G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {(\psi (\xi } ) + (\psi (\Omega ))\) |
Second Zagreb Index39 | \(M_{1} (G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {(\psi (\xi } ) \times (\psi (\Omega ))\) |
Forgotten Index40 | \(F(G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {(\psi (\xi } )^{2} + (\psi (\Omega )^{2} )\) |
Hyper Zagreb Index41 | \(HM(G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {(\psi (\xi } ) + (\psi (\Omega ))^{2}\) |
Augmented Zagreb Index42 | \(AZI(G)\) | \(\sum\limits_{\xi \Omega \in E(G)} {\left[ {\frac{\psi (\xi ) \times (\psi (\Omega )}{{\psi (\xi ) + (\psi (\Omega ) - 2}}} \right]}^{3}\) |