Table 1 Degree based topological descriptors.

From: Information-theoretic entropy and topological descriptor analysis of tin oxide (SnO₂) for structural and property prediction

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

\(AZI(G)\)

\(\sum\limits_{\xi \Omega \in E(G)} {\left[ {\frac{\psi (\xi ) \times (\psi (\Omega )}{{\psi (\xi ) + (\psi (\Omega ) - 2}}} \right]}^{3}\)